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1057156605 = 32523492369
BaseRepresentation
bin111111000000101…
…110110111111101
32201200020010020100
4333000232313331
54131113002410
6252522311313
735124453141
oct7700566775
92650203210
101057156605
114a281244a
12256058539
1313b02cb6b
14a0589221
1562c218c0
hex3f02edfd

1057156605 has 12 divisors (see below), whose sum is σ = 1832404860. Its totient is φ = 563816832.

The previous prime is 1057156601. The next prime is 1057156627. The reversal of 1057156605 is 5066517501.

It can be written as a sum of positive squares in 2 ways, for example, as 161112249 + 896044356 = 12693^2 + 29934^2 .

It is not a de Polignac number, because 1057156605 - 22 = 1057156601 is a prime.

It is a super-3 number, since 3×10571566053 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1057156605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057156601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11746140 + ... + 11746229.

It is an arithmetic number, because the mean of its divisors is an integer number (152700405).

Almost surely, 21057156605 is an apocalyptic number.

1057156605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057156605 is a deficient number, since it is larger than the sum of its proper divisors (775248255).

1057156605 is a wasteful number, since it uses less digits than its factorization.

1057156605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23492380 (or 23492377 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 1057156605 is about 32513.9447775874. The cubic root of 1057156605 is about 1018.7003198577.

It can be divided in two parts, 10571 and 56605, that added together give a palindrome (67176).

The spelling of 1057156605 in words is "one billion, fifty-seven million, one hundred fifty-six thousand, six hundred five".

Divisors: 1 3 5 9 15 45 23492369 70477107 117461845 211431321 352385535 1057156605