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13164424 = 237133107
BaseRepresentation
bin110010001101…
…111110001000
3220202211012021
4302031332020
511332230144
61150054224
7216616150
oct62157610
926684167
1013164424
117481699
1244aa374
13295c000
141a69760
151250884
hexc8df88

13164424 has 64 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 5159232.

The previous prime is 13164419. The next prime is 13164451. The reversal of 13164424 is 42446131.

13164424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122979 + ... + 123085.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 213164424 is an apocalyptic number.

13164424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13164424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

13164424 is an abundant number, since it is smaller than the sum of its proper divisors (17680376).

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

13164424 is a wasteful number, since it uses less digits than its factorization.

13164424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 129 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 13164424 is about 3628.2811357446. The cubic root of 13164424 is about 236.1206411819.

The spelling of 13164424 in words is "thirteen million, one hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 107 169 182 214 338 364 428 676 728 749 856 1183 1352 1391 1498 2197 2366 2782 2996 4394 4732 5564 5992 8788 9464 9737 11128 15379 17576 18083 19474 30758 36166 38948 61516 72332 77896 123032 126581 144664 235079 253162 470158 506324 940316 1012648 1645553 1880632 3291106 6582212 13164424