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13660704 = 253397163
BaseRepresentation
bin110100000111…
…001000100000
3221201000222000
4310013020200
511444120304
61204444000
7224054061
oct64071040
927630860
1013660704
117790542
1246a9600
132aa3b75
141b58568
1512ec939
hexd07220

13660704 has 96 divisors (see below), whose sum is σ = 40501440. Its totient is φ = 4478976.

The previous prime is 13660663. The next prime is 13660763. The reversal of 13660704 is 40706631.

13660704 = T327 + T328 + ... + T488.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×136607042 = 373229667551232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83727 + ... + 83889.

It is an arithmetic number, because the mean of its divisors is an integer number (421890).

Almost surely, 213660704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13660704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20250720).

13660704 is an abundant number, since it is smaller than the sum of its proper divisors (26840736).

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

13660704 is a wasteful number, since it uses less digits than its factorization.

13660704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13660704 is about 3696.0389608336. The cubic root of 13660704 is about 239.0512544499.

The spelling of 13660704 in words is "thirteen million, six hundred sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 97 108 144 163 194 216 288 291 326 388 432 489 582 652 776 864 873 978 1164 1304 1467 1552 1746 1956 2328 2608 2619 2934 3104 3492 3912 4401 4656 5216 5238 5868 6984 7824 8802 9312 10476 11736 13968 15648 15811 17604 20952 23472 27936 31622 35208 41904 46944 47433 63244 70416 83808 94866 126488 140832 142299 189732 252976 284598 379464 426897 505952 569196 758928 853794 1138392 1517856 1707588 2276784 3415176 4553568 6830352 13660704