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13716072 = 2332296569
BaseRepresentation
bin110100010100…
…101001101000
3221210211220200
4310110221220
512002403242
61205552200
7224404356
oct64245150
927724820
1013716072
1178190a7
124715660
132ac3126
141b707d6
15130e04c
hexd14a68

13716072 has 48 divisors (see below), whose sum is σ = 38434500. Its totient is φ = 4413696.

The previous prime is 13716071. The next prime is 13716077. The reversal of 13716072 is 27061731.

It can be written as a sum of positive squares in 2 ways, for example, as 12916836 + 799236 = 3594^2 + 894^2 .

It is a super-2 number, since 2×137160722 = 376261262218368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13716071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1197 + ... + 5372.

Almost surely, 213716072 is an apocalyptic number.

13716072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13716072 is an abundant number, since it is smaller than the sum of its proper divisors (24718428).

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

13716072 is a wasteful number, since it uses less digits than its factorization.

13716072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6610 (or 6603 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 13716072 is about 3703.5215673734. The cubic root of 13716072 is about 239.3737841449.

The spelling of 13716072 in words is "thirteen million, seven hundred sixteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 6569 13138 19707 26276 39414 52552 59121 78828 118242 157656 190501 236484 381002 472968 571503 762004 1143006 1524008 1714509 2286012 3429018 4572024 6858036 13716072