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13300896 = 253719793
BaseRepresentation
bin110010101111…
…010010100000
3221000202101210
4302233102200
511401112041
61153030120
7221025060
oct62572240
927022353
1013300896
117565184
124555340
1329a916b
141aa33a0
15127b016
hexcaf4a0

13300896 has 48 divisors (see below), whose sum is σ = 39904704. Its totient is φ = 3800064.

The previous prime is 13300873. The next prime is 13300897. The reversal of 13300896 is 69800331.

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

It is not an unprimeable number, because it can be changed into a prime (13300897) 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 7 ways as a sum of consecutive naturals, for example, 9225 + ... + 10568.

It is an arithmetic number, because the mean of its divisors is an integer number (831348).

Almost surely, 213300896 is an apocalyptic number.

13300896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13300896 is an abundant number, since it is smaller than the sum of its proper divisors (26603808).

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

13300896 is a wasteful number, since it uses less digits than its factorization.

13300896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19813 (or 19805 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13300896 is about 3647.0393471966. The cubic root of 13300896 is about 236.9337705947.

It can be divided in two parts, 13300 and 896, that added together give a triangular number (14196 = T168).

The spelling of 13300896 in words is "thirteen million, three hundred thousand, eight hundred ninety-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 19793 39586 59379 79172 118758 138551 158344 237516 277102 316688 415653 475032 554204 633376 831306 950064 1108408 1662612 1900128 2216816 3325224 4433632 6650448 13300896