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13461696 = 263223371
BaseRepresentation
bin110011010110…
…100011000000
3221022220222100
4303112203000
511421233241
61200310400
7222264633
oct63264300
927286870
1013461696
117664a76
124612400
132a34401
141b05c1a
1512ad9b6
hexcd68c0

13461696 has 42 divisors (see below), whose sum is σ = 38587172. Its totient is φ = 4487040.

The previous prime is 13461689. The next prime is 13461697. The reversal of 13461696 is 69616431.

13461696 is a `hidden beast` number, since 1 + 34 + 616 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13461696.

It is not an unprimeable number, because it can be changed into a prime (13461697) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11110 + ... + 12261.

Almost surely, 213461696 is an apocalyptic number.

13461696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13461696 is an abundant number, since it is smaller than the sum of its proper divisors (25125476).

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

13461696 is a wasteful number, since it uses less digits than its factorization.

13461696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23389 (or 23376 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 13461696 is about 3669.0183973374. The cubic root of 13461696 is about 237.8847451745.

The spelling of 13461696 in words is "thirteen million, four hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 23371 46742 70113 93484 140226 186968 210339 280452 373936 420678 560904 747872 841356 1121808 1495744 1682712 2243616 3365424 4487232 6730848 13461696