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13715712 = 28325953
BaseRepresentation
bin110100010100…
…100100000000
3221210211102100
4310110210000
512002400322
61205550400
7224403333
oct64244400
927724370
1013715712
1178188aa
124715400
132ac2c0a
141b7061a
15130ddac
hexd14900

13715712 has 54 divisors (see below), whose sum is σ = 39552422. Its totient is φ = 4571136.

The previous prime is 13715687. The next prime is 13715717. The reversal of 13715712 is 21751731.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 6230016 = 2736^2 + 2496^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13715717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 673 + ... + 5280.

Almost surely, 213715712 is an apocalyptic number.

13715712 is a gapful number since it is divisible by the number (12) 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 13715712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19776211).

13715712 is an abundant number, since it is smaller than the sum of its proper divisors (25836710).

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

13715712 is an equidigital number, since it uses as much as digits as its factorization.

13715712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5975 (or 5958 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 13715712 is about 3703.4729646644. The cubic root of 13715712 is about 239.3716898787.

The spelling of 13715712 in words is "thirteen million, seven hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5953 11906 17859 23812 35718 47624 53577 71436 95248 107154 142872 190496 214308 285744 380992 428616 571488 761984 857232 1142976 1523968 1714464 2285952 3428928 4571904 6857856 13715712