[go: up one dir, main page]

Search a number
-
+
4201030240 = 255117133619
BaseRepresentation
bin1111101001100110…
…1010001001100000
3101211202222110002121
43322121222021200
532100430431430
61532510354024
7206051111401
oct37231521140
911752873077
104201030240
111866410220
12992abb914
1351c479914
142bbd239a8
15198c34a7a
hexfa66a260

4201030240 has 96 divisors (see below), whose sum is σ = 10980023040. Its totient is φ = 1506086400.

The previous prime is 4201030231. The next prime is 4201030241. The reversal of 4201030240 is 420301024.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201030241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108151 + ... + 141769.

It is an arithmetic number, because the mean of its divisors is an integer number (114375240).

Almost surely, 24201030240 is an apocalyptic number.

4201030240 is a gapful number since it is divisible by the number (40) 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 4201030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490011520).

4201030240 is an abundant number, since it is smaller than the sum of its proper divisors (6778992800).

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

4201030240 is a wasteful number, since it uses less digits than its factorization.

4201030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33716 (or 33708 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4201030240 is about 64815.3549708709. The cubic root of 4201030240 is about 1613.5605573607.

Adding to 4201030240 its reverse (420301024), we get a palindrome (4621331264).

The spelling of 4201030240 in words is "four billion, two hundred one million, thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 71 80 88 110 142 160 176 220 284 352 355 440 568 710 781 880 1136 1420 1562 1760 2272 2840 3124 3905 5680 6248 7810 11360 12496 15620 24992 31240 33619 62480 67238 124960 134476 168095 268952 336190 369809 537904 672380 739618 1075808 1344760 1479236 1849045 2386949 2689520 2958472 3698090 4773898 5379040 5916944 7396180 9547796 11833888 11934745 14792360 19095592 23869490 26256439 29584720 38191184 47738980 52512878 59169440 76382368 95477960 105025756 131282195 190955920 210051512 262564390 381911840 420103024 525128780 840206048 1050257560 2100515120 4201030240