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31087056 = 24371113647
BaseRepresentation
bin111011010010…
…1100111010000
32011111101102110
41312211213100
530424241211
63030145320
7525143550
oct166454720
964441373
1031087056
1116603190
12a4b2240
136595a10
1441b3160
152ae0ea6
hex1da59d0

31087056 has 160 divisors (see below), whose sum is σ = 107993088. Its totient is φ = 7441920.

The previous prime is 31087051. The next prime is 31087057. The reversal of 31087056 is 65078013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31087051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47725 + ... + 48371.

Almost surely, 231087056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31087056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53996544).

31087056 is an abundant number, since it is smaller than the sum of its proper divisors (76906032).

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

31087056 is a wasteful number, since it uses less digits than its factorization.

31087056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 31087056 is about 5575.5767414681. The cubic root of 31087056 is about 314.4318506538.

The spelling of 31087056 in words is "thirty-one million, eighty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 647 728 858 924 1001 1092 1144 1232 1294 1456 1716 1848 1941 2002 2184 2288 2588 3003 3432 3696 3882 4004 4368 4529 5176 6006 6864 7117 7764 8008 8411 9058 10352 12012 13587 14234 15528 16016 16822 18116 21351 24024 25233 27174 28468 31056 33644 36232 42702 48048 49819 50466 54348 56936 58877 67288 72464 85404 92521 99638 100932 108696 113872 117754 134576 149457 170808 176631 185042 199276 201864 217392 235508 277563 298914 341616 353262 370084 398552 403728 471016 555126 597828 647647 706524 740168 797104 942032 1110252 1195656 1295294 1413048 1480336 1942941 2220504 2391312 2590588 2826096 3885882 4441008 5181176 7771764 10362352 15543528 31087056