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13706976 = 253712011
BaseRepresentation
bin110100010010…
…011011100000
3221210101102210
4310102123200
512002110401
61205442120
7224336013
oct64223340
927711383
1013706976
117812288
124710340
132abbc4a
141b6b37a
15130b4d6
hexd126e0

13706976 has 48 divisors (see below), whose sum is σ = 36505728. Its totient is φ = 4502400.

The previous prime is 13706971. The next prime is 13706977. The reversal of 13706976 is 67960731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13706971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5811 + ... + 7821.

It is an arithmetic number, because the mean of its divisors is an integer number (760536).

Almost surely, 213706976 is an apocalyptic number.

13706976 is a gapful number since it is divisible by the number (16) 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 13706976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18252864).

13706976 is an abundant number, since it is smaller than the sum of its proper divisors (22798752).

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

13706976 is a wasteful number, since it uses less digits than its factorization.

13706976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 13706976 is about 3702.2933433211. The cubic root of 13706976 is about 239.3208577816.

The spelling of 13706976 in words is "thirteen million, seven hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2011 2272 3408 4022 6033 6816 8044 12066 16088 24132 32176 48264 64352 96528 142781 193056 285562 428343 571124 856686 1142248 1713372 2284496 3426744 4568992 6853488 13706976