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10659313 = 72435059
BaseRepresentation
bin101000101010…
…010111110001
3202001112211101
4220222113301
510212044223
61020244401
7156413500
oct50522761
922045741
1010659313
116020555
1236a0701
1322929b2
1415b6837
15e084ad
hexa2a5f1

10659313 has 12 divisors (see below), whose sum is σ = 12690480. Its totient is φ = 8922312.

The previous prime is 10659287. The next prime is 10659343. The reversal of 10659313 is 31395601.

10659313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10659313 is a prime.

It is a super-3 number, since 3×106593133 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10659343) 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, 423 + ... + 4636.

It is an arithmetic number, because the mean of its divisors is an integer number (1057540).

Almost surely, 210659313 is an apocalyptic number.

It is an amenable number.

10659313 is a deficient number, since it is larger than the sum of its proper divisors (2031167).

10659313 is an equidigital number, since it uses as much as digits as its factorization.

10659313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 10659313 is about 3264.8603339194. The cubic root of 10659313 is about 220.0778856464.

The spelling of 10659313 in words is "ten million, six hundred fifty-nine thousand, three hundred thirteen".

Divisors: 1 7 43 49 301 2107 5059 35413 217537 247891 1522759 10659313