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31021440 = 2735107151
BaseRepresentation
bin111011001010…
…1100110000000
32011101001102020
41312111212000
530420141230
63024521440
7524451342
oct166254600
964331366
1031021440
111656895a
12a480280
136571ba8
144197292
152acb810
hex1d95980

31021440 has 128 divisors (see below), whose sum is σ = 100465920. Its totient is φ = 8140800.

The previous prime is 31021427. The next prime is 31021493. The reversal of 31021440 is 4412013.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205365 + ... + 205515.

It is an arithmetic number, because the mean of its divisors is an integer number (784890).

Almost surely, 231021440 is an apocalyptic number.

31021440 is a gapful number since it is divisible by the number (30) 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 31021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50232960).

31021440 is an abundant number, since it is smaller than the sum of its proper divisors (69444480).

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

31021440 is a wasteful number, since it uses less digits than its factorization.

31021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 31021440 is about 5569.6893988803. The cubic root of 31021440 is about 314.2104691963.

Adding to 31021440 its reverse (4412013), we get a palindrome (35433453).

The spelling of 31021440 in words is "thirty-one million, twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 128 151 160 192 214 240 302 320 321 384 428 453 480 535 604 640 642 755 856 906 960 1070 1208 1284 1510 1605 1712 1812 1920 2140 2265 2416 2568 3020 3210 3424 3624 4280 4530 4832 5136 6040 6420 6848 7248 8560 9060 9664 10272 12080 12840 13696 14496 16157 17120 18120 19328 20544 24160 25680 28992 32314 34240 36240 41088 48320 48471 51360 57984 64628 68480 72480 80785 96640 96942 102720 129256 144960 161570 193884 205440 242355 258512 289920 323140 387768 484710 517024 646280 775536 969420 1034048 1292560 1551072 1938840 2068096 2585120 3102144 3877680 5170240 6204288 7755360 10340480 15510720 31021440