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13730496 = 263135501
BaseRepresentation
bin110100011000…
…001011000000
3221211120200220
4310120023000
512003333441
61210143040
7224464413
oct64301300
927746626
1013730496
117828a1a
124721a80
132ac9870
141b75b7a
151313466
hexd182c0

13730496 has 56 divisors (see below), whose sum is σ = 39130224. Its totient is φ = 4224000.

The previous prime is 13730419. The next prime is 13730501. The reversal of 13730496 is 69403731.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 5246.

It is an arithmetic number, because the mean of its divisors is an integer number (698754).

Almost surely, 213730496 is an apocalyptic number.

13730496 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 13730496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19565112).

13730496 is an abundant number, since it is smaller than the sum of its proper divisors (25399728).

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

13730496 is a wasteful number, since it uses less digits than its factorization.

13730496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 13730496 is about 3705.4683914453. The cubic root of 13730496 is about 239.4576642785.

The spelling of 13730496 in words is "thirteen million, seven hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 5501 11002 16503 22004 33006 44008 66012 71513 88016 132024 143026 176032 214539 264048 286052 352064 429078 528096 572104 858156 1056192 1144208 1716312 2288416 3432624 4576832 6865248 13730496