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13992640 = 26573599
BaseRepresentation
bin110101011000…
…001011000000
3222022220021221
4311120023000
512040231030
61215524424
7226635604
oct65301300
928286257
1013992640
117997972
124829714
132b8bc8c
141c03504
151365e7a
hexd582c0

13992640 has 56 divisors (see below), whose sum is σ = 33832800. Its totient is φ = 5511168.

The previous prime is 13992637. The next prime is 13992731. The reversal of 13992640 is 4629931.

It is a junction number, because it is equal to n+sod(n) for n = 13992596 and 13992605.

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, 23061 + ... + 23659.

Almost surely, 213992640 is an apocalyptic number.

13992640 is a gapful number since it is divisible by the number (10) 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 13992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16916400).

13992640 is an abundant number, since it is smaller than the sum of its proper divisors (19840160).

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

13992640 is an equidigital number, since it uses as much as digits as its factorization.

13992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 13992640 is about 3740.6737361069. The cubic root of 13992640 is about 240.9719841402.

The spelling of 13992640 in words is "thirteen million, nine hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 584 599 730 1168 1198 1460 2336 2396 2920 2995 4672 4792 5840 5990 9584 11680 11980 19168 23360 23960 38336 43727 47920 87454 95840 174908 191680 218635 349816 437270 699632 874540 1399264 1749080 2798528 3498160 6996320 13992640