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13715408 = 247139881
BaseRepresentation
bin110100010100…
…011111010000
3221210211000002
4310110133100
512002343113
61205545132
7224402420
oct64243720
927724002
1013715408
117818653
1247151a8
132ac2a35
141b70480
15130dc58
hexd147d0

13715408 has 40 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 5829120.

The previous prime is 13715407. The next prime is 13715417. The reversal of 13715408 is 80451731.

It is a super-2 number, since 2×137154082 = 376224833212928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13715407) 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, 15128 + ... + 16008.

It is an arithmetic number, because the mean of its divisors is an integer number (765576).

Almost surely, 213715408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13715408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311520).

13715408 is an abundant number, since it is smaller than the sum of its proper divisors (16907632).

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

13715408 is a wasteful number, since it uses less digits than its factorization.

13715408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 13715408 is about 3703.4319218800. The cubic root of 13715408 is about 239.3699213588.

The spelling of 13715408 in words is "thirteen million, seven hundred fifteen thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 278 556 881 973 1112 1762 1946 2224 3524 3892 6167 7048 7784 12334 14096 15568 24668 49336 98672 122459 244918 489836 857213 979672 1714426 1959344 3428852 6857704 13715408