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13664460 = 2235534297
BaseRepresentation
bin110100001000…
…000011001100
3221201020010010
4310020003030
511444230320
61204513220
7224101035
oct64100314
927636103
1013664460
117793347
1246ab810
132aa57a4
141b59a8c
1512edae0
hexd080cc

13664460 has 48 divisors (see below), whose sum is σ = 38991456. Its totient is φ = 3574272.

The previous prime is 13664429. The next prime is 13664467. The reversal of 13664460 is 6446631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13664467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032 + ... + 5328.

It is an arithmetic number, because the mean of its divisors is an integer number (812322).

Almost surely, 213664460 is an apocalyptic number.

13664460 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 13664460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19495728).

13664460 is an abundant number, since it is smaller than the sum of its proper divisors (25326996).

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

13664460 is a wasteful number, since it uses less digits than its factorization.

13664460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 13664460 is about 3696.5470374391. The cubic root of 13664460 is about 239.0731614281.

The spelling of 13664460 in words is "thirteen million, six hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 4297 8594 12891 17188 21485 25782 42970 51564 64455 85940 128910 227741 257820 455482 683223 910964 1138705 1366446 2277410 2732892 3416115 4554820 6832230 13664460