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13437144 = 233378887
BaseRepresentation
bin110011010000…
…100011011000
3221021200022000
4303100203120
511414442034
61200001000
7222133230
oct63204330
927250260
1013437144
117648586
124600160
132a26196
141adacc0
1512a6599
hexcd08d8

13437144 has 64 divisors (see below), whose sum is σ = 42662400. Its totient is φ = 3838752.

The previous prime is 13437133. The next prime is 13437187. The reversal of 13437144 is 44173431.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 2932 + ... + 5955.

It is an arithmetic number, because the mean of its divisors is an integer number (666600).

Almost surely, 213437144 is an apocalyptic number.

13437144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13437144 is an abundant number, since it is smaller than the sum of its proper divisors (29225256).

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

13437144 is a wasteful number, since it uses less digits than its factorization.

13437144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8909 (or 8899 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 13437144 is about 3665.6710163352. The cubic root of 13437144 is about 237.7400358053.

The spelling of 13437144 in words is "thirteen million, four hundred thirty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 8887 17774 26661 35548 53322 62209 71096 79983 106644 124418 159966 186627 213288 239949 248836 319932 373254 479898 497672 559881 639864 746508 959796 1119762 1493016 1679643 1919592 2239524 3359286 4479048 6718572 13437144