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13811472 = 243410657
BaseRepresentation
bin110100101011…
…111100010000
3221222200210000
4310223330100
512013431342
61212010000
7225252453
oct64537420
927880700
1013811472
117883844
124760900
132b2768c
141b9749a
15132c44c
hexd2bf10

13811472 has 50 divisors (see below), whose sum is σ = 39978158. Its totient is φ = 4603392.

The previous prime is 13811459. The next prime is 13811489. The reversal of 13811472 is 27411831.

13811472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8503056 + 5308416 = 2916^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4033 + ... + 6624.

Almost surely, 213811472 is an apocalyptic number.

13811472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13811472 is an abundant number, since it is smaller than the sum of its proper divisors (26166686).

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

13811472 is a wasteful number, since it uses less digits than its factorization.

13811472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10677 (or 10662 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 13811472 is about 3716.3788827298. The cubic root of 13811472 is about 239.9274780879.

The spelling of 13811472 in words is "thirteen million, eight hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10657 21314 31971 42628 63942 85256 95913 127884 170512 191826 255768 287739 383652 511536 575478 767304 863217 1150956 1534608 1726434 2301912 3452868 4603824 6905736 13811472