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1057115412 = 223246163697
BaseRepresentation
bin111111000000100…
…100110100010100
32201200011000201200
4333000210310110
54131110143122
6252521352500
735124222063
oct7700446424
92650130650
101057115412
114a2794501
12256038730
1313b0171a2
14a05781da
1562c145ac
hex3f024d14

1057115412 has 36 divisors (see below), whose sum is σ = 2677991316. Its totient is φ = 351601920.

The previous prime is 1057115401. The next prime is 1057115413. The reversal of 1057115412 is 2145117501.

1057115412 is a `hidden beast` number, since 105 + 7 + 11 + 541 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 163942416 + 893172996 = 12804^2 + 29886^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10571154122 = 2234985988575859488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057115413) 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 11 ways as a sum of consecutive naturals, for example, 15253 + ... + 48444.

Almost surely, 21057115412 is an apocalyptic number.

1057115412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1057115412 is an abundant number, since it is smaller than the sum of its proper divisors (1620875904).

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

1057115412 is a wasteful number, since it uses less digits than its factorization.

1057115412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64168 (or 64163 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 1057115412 is about 32513.3113047564. The cubic root of 1057115412 is about 1018.6870881797.

The spelling of 1057115412 in words is "one billion, fifty-seven million, one hundred fifteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 461 922 1383 1844 2766 4149 5532 8298 16596 63697 127394 191091 254788 382182 573273 764364 1146546 2293092 29364317 58728634 88092951 117457268 176185902 264278853 352371804 528557706 1057115412