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13333152 = 253719841
BaseRepresentation
bin110010110111…
…001010100000
3221002101122110
4302313022200
511403130102
61153435320
7221221110
oct62671240
927071573
1013333152
117587438
12456bb40
1329baa51
141ab1040
15128586c
hexcb72a0

13333152 has 48 divisors (see below), whose sum is σ = 40001472. Its totient is φ = 3809280.

The previous prime is 13333147. The next prime is 13333153. The reversal of 13333152 is 25133331.

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 (21).

It is not an unprimeable number, because it can be changed into a prime (13333153) 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, 9249 + ... + 10592.

It is an arithmetic number, because the mean of its divisors is an integer number (833364).

Almost surely, 213333152 is an apocalyptic number.

13333152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13333152 is an abundant number, since it is smaller than the sum of its proper divisors (26668320).

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

13333152 is a wasteful number, since it uses less digits than its factorization.

13333152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19861 (or 19853 counting only the distinct ones).

The product of its digits is 810, while the sum is 21.

The square root of 13333152 is about 3651.4588865274. The cubic root of 13333152 is about 237.1251453223.

Adding to 13333152 its reverse (25133331), we get a palindrome (38466483).

The spelling of 13333152 in words is "thirteen million, three hundred thirty-three thousand, one hundred fifty-two".

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 19841 39682 59523 79364 119046 138887 158728 238092 277774 317456 416661 476184 555548 634912 833322 952368 1111096 1666644 1904736 2222192 3333288 4444384 6666576 13333152