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1057112056 = 23711131011307
BaseRepresentation
bin111111000000100…
…011111111111000
32201200010212010101
4333000203333320
54131110041211
6252521325144
735124206230
oct7700437770
92650125111
101057112056
114a2791a30
122560367b4
1313b0157c0
14a0576cc0
1562c135c1
hex3f023ff8

1057112056 has 128 divisors (see below), whose sum is σ = 2689666560. Its totient is φ = 376128000.

The previous prime is 1057112033. The next prime is 1057112081. The reversal of 1057112056 is 6502117501.

It is a super-2 number, since 2×10571120562 = 2234971797881094272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 808155 + ... + 809461.

It is an arithmetic number, because the mean of its divisors is an integer number (21013020).

Almost surely, 21057112056 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 1057112056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344833280).

1057112056 is an abundant number, since it is smaller than the sum of its proper divisors (1632554504).

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

1057112056 is a wasteful number, since it uses less digits than its factorization.

1057112056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 1057112056 is about 32513.2596950844. The cubic root of 1057112056 is about 1018.6860101777.

Adding to 1057112056 its reverse (6502117501), we get a palindrome (7559229557).

Subtracting 1057112056 from its reverse (6502117501), we obtain a palindrome (5445005445).

The spelling of 1057112056 in words is "one billion, fifty-seven million, one hundred twelve thousand, fifty-six".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 101 104 143 154 182 202 286 308 364 404 572 616 707 728 808 1001 1111 1144 1307 1313 1414 2002 2222 2614 2626 2828 4004 4444 5228 5252 5656 7777 8008 8888 9149 9191 10456 10504 14377 14443 15554 16991 18298 18382 28754 28886 31108 33982 36596 36764 57508 57772 62216 67964 73192 73528 100639 101101 115016 115544 118937 132007 135928 186901 201278 202202 237874 264014 373802 402556 404404 475748 528028 747604 805112 808808 924049 951496 1056056 1308307 1452077 1495208 1716091 1848098 2616614 2904154 3432182 3696196 5233228 5808308 6864364 7392392 10164539 10466456 11616616 12012637 13728728 18877001 20329078 24025274 37754002 40658156 48050548 75508004 81316312 96101096 132139007 151016008 264278014 528556028 1057112056