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6313056240 = 243567419937
BaseRepresentation
bin1011110000100100…
…11001011111110000
3121021222010111002210
411320102121133300
5100412120244430
62522234412120
7312305043531
oct57022313760
917258114083
106313056240
11274a612657
121282291040
13797bb854a
1443c620688
1526e3752b0
hex1784997f0

6313056240 has 160 divisors (see below), whose sum is σ = 19931224320. Its totient is φ = 1652631552.

The previous prime is 6313056229. The next prime is 6313056241. The reversal of 6313056240 is 426503136.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6313056198 and 6313056207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6313056241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6737052 + ... + 6737988.

It is an arithmetic number, because the mean of its divisors is an integer number (124570152).

Almost surely, 26313056240 is an apocalyptic number.

6313056240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6313056240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9965612160).

6313056240 is an abundant number, since it is smaller than the sum of its proper divisors (13618168080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6313056240 is a wasteful number, since it uses less digits than its factorization.

6313056240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 6313056240 is about 79454.7433448753. The cubic root of 6313056240 is about 1848.1897305248.

Adding to 6313056240 its reverse (426503136), we get a palindrome (6739559376).

The spelling of 6313056240 in words is "six billion, three hundred thirteen million, fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 419 536 670 804 838 937 1005 1072 1257 1340 1608 1676 1874 2010 2095 2514 2680 2811 3216 3352 3748 4020 4190 4685 5028 5360 5622 6285 6704 7496 8040 8380 9370 10056 11244 12570 14055 14992 16080 16760 18740 20112 22488 25140 28073 28110 33520 37480 44976 50280 56146 56220 62779 74960 84219 100560 112292 112440 125558 140365 168438 188337 224584 224880 251116 280730 313895 336876 376674 392603 421095 449168 502232 561460 627790 673752 753348 785206 842190 941685 1004464 1122920 1177809 1255580 1347504 1506696 1570412 1684380 1883370 1963015 2245840 2355618 2511160 3013392 3140824 3368760 3766740 3926030 4711236 5022320 5889045 6281648 6737520 7533480 7852060 9422472 11778090 15066960 15704120 18844944 23556180 26304401 31408240 47112360 52608802 78913203 94224720 105217604 131522005 157826406 210435208 263044010 315652812 394566015 420870416 526088020 631305624 789132030 1052176040 1262611248 1578264060 2104352080 3156528120 6313056240