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10676960 = 25579533
BaseRepresentation
bin101000101110…
…101011100000
3202002110000222
4220232223200
510213130320
61020502212
7156516110
oct50565340
922073028
1010676960
116032838
1236aa968
13229aa38
1415bd040
15e0d825
hexa2eae0

10676960 has 48 divisors (see below), whose sum is σ = 28830816. Its totient is φ = 3660288.

The previous prime is 10676923. The next prime is 10676971. The reversal of 10676960 is 6967601.

It is a happy number.

It is a super-2 number, since 2×106769602 = 227994949683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10676960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3647 + ... + 5886.

It is an arithmetic number, because the mean of its divisors is an integer number (600642).

Almost surely, 210676960 is an apocalyptic number.

10676960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10676960 is an abundant number, since it is smaller than the sum of its proper divisors (18153856).

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

10676960 is an equidigital number, since it uses as much as digits as its factorization.

10676960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9555 (or 9547 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 10676960 is about 3267.5617821244. The cubic root of 10676960 is about 220.1992684907.

The spelling of 10676960 in words is "ten million, six hundred seventy-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 9533 19066 38132 47665 66731 76264 95330 133462 152528 190660 266924 305056 333655 381320 533848 667310 762640 1067696 1334620 1525280 2135392 2669240 5338480 10676960