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13957130 = 2511314093
BaseRepresentation
bin110101001111…
…100000001010
3222021002120202
4311033200022
512033112010
61215052202
7226430225
oct65174012
928232522
1013957130
117973220
124811062
132b78a75
141bd45bc
15135a6a5
hexd4f80a

13957130 has 32 divisors (see below), whose sum is σ = 28297728. Its totient is φ = 4910400.

The previous prime is 13957117. The next prime is 13957171. The reversal of 13957130 is 3175931.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 13957093 and 13957102.

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 15 ways as a sum of consecutive naturals, for example, 1364 + ... + 5456.

It is an arithmetic number, because the mean of its divisors is an integer number (884304).

Almost surely, 213957130 is an apocalyptic number.

13957130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13957130 is an abundant number, since it is smaller than the sum of its proper divisors (14340598).

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

13957130 is a wasteful number, since it uses less digits than its factorization.

13957130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142.

The product of its (nonzero) digits is 2835, while the sum is 29.

The square root of 13957130 is about 3735.9242497674. The cubic root of 13957130 is about 240.7679682230.

The spelling of 13957130 in words is "thirteen million, nine hundred fifty-seven thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 31 55 62 110 155 310 341 682 1705 3410 4093 8186 20465 40930 45023 90046 126883 225115 253766 450230 634415 1268830 1395713 2791426 6978565 13957130