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10137355 = 517196277
BaseRepresentation
bin100110101010…
…111100001011
3201002000211121
4212222330023
510043343410
61001140111
7152110654
oct46527413
921060747
1010137355
1157a4388
12348a637
13213c247
1414bc52b
15d539da
hex9aaf0b

10137355 has 16 divisors (see below), whose sum is σ = 13560480. Its totient is φ = 7229952.

The previous prime is 10137349. The next prime is 10137419. The reversal of 10137355 is 55373101.

It is a cyclic number.

It is not a de Polignac number, because 10137355 - 219 = 9613067 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1524 + ... + 4753.

It is an arithmetic number, because the mean of its divisors is an integer number (847530).

Almost surely, 210137355 is an apocalyptic number.

10137355 is a deficient number, since it is larger than the sum of its proper divisors (3423125).

10137355 is a wasteful number, since it uses less digits than its factorization.

10137355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318.

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 10137355 is about 3183.9213244049. The cubic root of 10137355 is about 216.4253948078.

The spelling of 10137355 in words is "ten million, one hundred thirty-seven thousand, three hundred fifty-five".

Divisors: 1 5 17 19 85 95 323 1615 6277 31385 106709 119263 533545 596315 2027471 10137355