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13103680 = 26540949
BaseRepresentation
bin110001111111…
…001001000000
3220122201212111
4301333021000
511323304210
61144505104
7216244102
oct61771100
926581774
1013103680
11743aa97
12447b194
13293a475
141a51572
15123c88a
hexc7f240

13103680 has 28 divisors (see below), whose sum is σ = 31203900. Its totient is φ = 5241344.

The previous prime is 13103677. The next prime is 13103683. The reversal of 13103680 is 8630131.

It is an interprime number because it is at equal distance from previous prime (13103677) and next prime (13103683).

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 7795264 = 2304^2 + 2792^2 .

It is not an unprimeable number, because it can be changed into a prime (13103683) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 20155 + ... + 20794.

It is an arithmetic number, because the mean of its divisors is an integer number (1114425).

Almost surely, 213103680 is an apocalyptic number.

13103680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13103680 is an abundant number, since it is smaller than the sum of its proper divisors (18100220).

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

13103680 is an equidigital number, since it uses as much as digits as its factorization.

13103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40966 (or 40956 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13103680 is about 3619.9005511202. The cubic root of 13103680 is about 235.7569075928.

The spelling of 13103680 in words is "thirteen million, one hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 40949 81898 163796 204745 327592 409490 655184 818980 1310368 1637960 2620736 3275920 6551840 13103680