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13937664 = 210313349
BaseRepresentation
bin110101001010…
…110000000000
3222020002212210
4311022300000
512032001124
61214422120
7226316406
oct65126000
928202783
1013937664
11795a634
124801940
132b6cc50
141bcb476
151354a29
hexd4ac00

13937664 has 88 divisors (see below), whose sum is σ = 40121200. Its totient is φ = 4276224.

The previous prime is 13937657. The next prime is 13937683. The reversal of 13937664 is 46673931.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 39762 + ... + 40110.

Almost surely, 213937664 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 13937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20060600).

13937664 is an abundant number, since it is smaller than the sum of its proper divisors (26183536).

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

13937664 is a wasteful number, since it uses less digits than its factorization.

13937664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 367 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 13937664 is about 3733.3180952070. The cubic root of 13937664 is about 240.6559831696.

The spelling of 13937664 in words is "thirteen million, nine hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 349 384 416 512 624 698 768 832 1024 1047 1248 1396 1536 1664 2094 2496 2792 3072 3328 4188 4537 4992 5584 6656 8376 9074 9984 11168 13312 13611 16752 18148 19968 22336 27222 33504 36296 39936 44672 54444 67008 72592 89344 108888 134016 145184 178688 217776 268032 290368 357376 435552 536064 580736 871104 1072128 1161472 1742208 2322944 3484416 4645888 6968832 13937664