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1011682056 = 2337111928813
BaseRepresentation
bin111100010011010…
…000101100001000
32121111122202212210
4330103100230020
54032442311211
6244215505120
734033104240
oct7423205410
92544582783
101011682056
1147a082780
122429881a0
1313179a548
149850cb20
155dc3c9a6
hex3c4d0b08

1011682056 has 128 divisors (see below), whose sum is σ = 3319372800. Its totient is φ = 248935680.

The previous prime is 1011682013. The next prime is 1011682057. The reversal of 1011682056 is 6502861101.

It is not an unprimeable number, because it can be changed into a prime (1011682057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20706 + ... + 49518.

It is an arithmetic number, because the mean of its divisors is an integer number (25932600).

Almost surely, 21011682056 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 1011682056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659686400).

1011682056 is an abundant number, since it is smaller than the sum of its proper divisors (2307690744).

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

1011682056 is a wasteful number, since it uses less digits than its factorization.

1011682056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28859 (or 28855 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1011682056 is about 31806.9498066067. The cubic root of 1011682056 is about 1003.8789529362.

The spelling of 1011682056 in words is "one billion, eleven million, six hundred eighty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 132 133 152 154 168 209 228 231 264 266 308 399 418 456 462 532 616 627 798 836 924 1064 1254 1463 1596 1672 1848 2508 2926 3192 4389 5016 5852 8778 11704 17556 28813 35112 57626 86439 115252 172878 201691 230504 316943 345756 403382 547447 605073 633886 691512 806764 950829 1094894 1210146 1267772 1613528 1642341 1901658 2189788 2218601 2420292 2535544 3284682 3803316 3832129 4379576 4437202 4840584 6021917 6569364 6655803 7606632 7664258 8874404 11496387 12043834 13138728 13311606 15328516 17748808 18065751 22992774 24087668 26623212 30657032 36131502 42153419 45985548 48175336 53246424 72263004 84306838 91971096 126460257 144526008 168613676 252920514 337227352 505841028 1011682056