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13704640 = 265113379
BaseRepresentation
bin110100010001…
…110111000000
3221210021020021
4310101313000
512002022030
61205423224
7224326135
oct64216700
927707207
1013704640
117810554
12470ab14
132abab71
141b6a58c
15130a97a
hexd11dc0

13704640 has 56 divisors (see below), whose sum is σ = 33009840. Its totient is φ = 5419008.

The previous prime is 13704631. The next prime is 13704641. The reversal of 13704640 is 4640731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13704641) 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, 35971 + ... + 36349.

Almost surely, 213704640 is an apocalyptic number.

13704640 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 13704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16504920).

13704640 is an abundant number, since it is smaller than the sum of its proper divisors (19305200).

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

13704640 is a wasteful number, since it uses less digits than its factorization.

13704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 13704640 is about 3701.9778497446. The cubic root of 13704640 is about 239.3072616564.

The spelling of 13704640 in words is "thirteen million, seven hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 320 379 452 565 758 904 1130 1516 1808 1895 2260 3032 3616 3790 4520 6064 7232 7580 9040 12128 15160 18080 24256 30320 36160 42827 60640 85654 121280 171308 214135 342616 428270 685232 856540 1370464 1713080 2740928 3426160 6852320 13704640