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13731312 = 243740867
BaseRepresentation
bin110100011000…
…010111110000
3221211121211010
4310120113300
512003400222
61210150520
7224466660
oct64302760
927747733
1013731312
1178295a1
124722440
132aca04a
141b761a0
15131380c
hexd185f0

13731312 has 40 divisors (see below), whose sum is σ = 40541056. Its totient is φ = 3923136.

The previous prime is 13731307. The next prime is 13731313. The reversal of 13731312 is 21313731.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13731313) 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, 20098 + ... + 20769.

Almost surely, 213731312 is an apocalyptic number.

13731312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13731312 is an abundant number, since it is smaller than the sum of its proper divisors (26809744).

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

13731312 is a wasteful number, since it uses less digits than its factorization.

13731312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40885 (or 40879 counting only the distinct ones).

The product of its digits is 378, while the sum is 21.

The square root of 13731312 is about 3705.5784973469. The cubic root of 13731312 is about 239.4624078213.

The spelling of 13731312 in words is "thirteen million, seven hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 40867 81734 122601 163468 245202 286069 326936 490404 572138 653872 858207 980808 1144276 1716414 1961616 2288552 3432828 4577104 6865656 13731312