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13415136 = 253719963
BaseRepresentation
bin110011001011…
…001011100000
3221020120002220
4303023023200
511413241021
61155311040
7222012120
oct63131340
927216086
1013415136
117632a99
1245ab480
132a19167
141ad2c80
15129ecc6
hexccb2e0

13415136 has 48 divisors (see below), whose sum is σ = 40247424. Its totient is φ = 3832704.

The previous prime is 13415119. The next prime is 13415147. The reversal of 13415136 is 63151431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9310 + ... + 10653.

It is an arithmetic number, because the mean of its divisors is an integer number (838488).

Almost surely, 213415136 is an apocalyptic number.

13415136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13415136 is an abundant number, since it is smaller than the sum of its proper divisors (26832288).

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

13415136 is a wasteful number, since it uses less digits than its factorization.

13415136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19983 (or 19975 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 13415136 is about 3662.6678801114. The cubic root of 13415136 is about 237.6101708623.

Adding to 13415136 its reverse (63151431), we get a palindrome (76566567).

The spelling of 13415136 in words is "thirteen million, four hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 19963 39926 59889 79852 119778 139741 159704 239556 279482 319408 419223 479112 558964 638816 838446 958224 1117928 1676892 1916448 2235856 3353784 4471712 6707568 13415136