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10137696 = 253105601
BaseRepresentation
bin100110101011…
…000001100000
3201002001022020
4212223001200
510043401241
61001141440
7152111652
oct46530140
921061266
1010137696
1157a4668
12348a880
13213c44a
1414bc6d2
15d53b66
hex9ab060

10137696 has 24 divisors (see below), whose sum is σ = 26611704. Its totient is φ = 3379200.

The previous prime is 10137691. The next prime is 10137709. The reversal of 10137696 is 69673101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10137691) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52705 + ... + 52896.

It is an arithmetic number, because the mean of its divisors is an integer number (1108821).

Almost surely, 210137696 is an apocalyptic number.

10137696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10137696 is an abundant number, since it is smaller than the sum of its proper divisors (16474008).

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

10137696 is a wasteful number, since it uses less digits than its factorization.

10137696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105614 (or 105606 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 10137696 is about 3183.9748742727. The cubic root of 10137696 is about 216.4278214839.

The spelling of 10137696 in words is "ten million, one hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 105601 211202 316803 422404 633606 844808 1267212 1689616 2534424 3379232 5068848 10137696