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13664760 = 2335234951
BaseRepresentation
bin110100001000…
…000111111000
3221201020112020
4310020013320
511444233020
61204514440
7224101644
oct64100770
927636466
1013664760
11779359a
1246aba20
132aa5975
141b59c24
1512edc40
hexd081f8

13664760 has 64 divisors (see below), whose sum is σ = 42785280. Its totient is φ = 3484800.

The previous prime is 13664759. The next prime is 13664789. The reversal of 13664760 is 6746631.

It is a congruent number.

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, 285 + ... + 5235.

It is an arithmetic number, because the mean of its divisors is an integer number (668520).

Almost surely, 213664760 is an apocalyptic number.

13664760 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 13664760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21392640).

13664760 is an abundant number, since it is smaller than the sum of its proper divisors (29120520).

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

13664760 is a wasteful number, since it uses less digits than its factorization.

13664760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 13664760 is about 3696.5876156261. The cubic root of 13664760 is about 239.0749110136.

The spelling of 13664760 in words is "thirteen million, six hundred sixty-four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4951 9902 14853 19804 24755 29706 39608 49510 59412 74265 99020 113873 118824 148530 198040 227746 297060 341619 455492 569365 594120 683238 910984 1138730 1366476 1708095 2277460 2732952 3416190 4554920 6832380 13664760