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10057653 = 322414637
BaseRepresentation
bin100110010111…
…011110110101
3200220222111200
4212113132311
510033321103
6555323113
7151326414
oct46273665
920828450
1010057653
11574a511
123450499
132111b98
14149b47b
15d3a0a3
hex9977b5

10057653 has 12 divisors (see below), whose sum is σ = 14591148. Its totient is φ = 6675840.

The previous prime is 10057643. The next prime is 10057661. The reversal of 10057653 is 35675001.

10057653 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 7 + 653 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5049009 + 5008644 = 2247^2 + 2238^2 .

It is not a de Polignac number, because 10057653 - 212 = 10053557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057603) 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, 150 + ... + 4487.

It is an arithmetic number, because the mean of its divisors is an integer number (1215929).

Almost surely, 210057653 is an apocalyptic number.

It is an amenable number.

10057653 is a deficient number, since it is larger than the sum of its proper divisors (4533495).

10057653 is a wasteful number, since it uses less digits than its factorization.

10057653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 10057653 is about 3171.3802988604. The cubic root of 10057653 is about 215.8567079462.

The spelling of 10057653 in words is "ten million, fifty-seven thousand, six hundred fifty-three".

Divisors: 1 3 9 241 723 2169 4637 13911 41733 1117517 3352551 10057653