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14387712 = 293171929
BaseRepresentation
bin110110111000…
…101000000000
31000001222020020
4312320220000
512140401322
61232213440
7233202453
oct66705000
930058206
1014387712
118137779
12499a280
132c99a51
141ca749a
1513e305c
hexdb8a00

14387712 has 160 divisors (see below), whose sum is σ = 44193600. Its totient is φ = 4128768.

The previous prime is 14387701. The next prime is 14387713. The reversal of 14387712 is 21778341.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14387713) 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, 496114 + ... + 496142.

It is an arithmetic number, because the mean of its divisors is an integer number (276210).

Almost surely, 214387712 is an apocalyptic number.

14387712 is a gapful number since it is divisible by the number (12) 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 14387712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22096800).

14387712 is an abundant number, since it is smaller than the sum of its proper divisors (29805888).

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

14387712 is a wasteful number, since it uses less digits than its factorization.

14387712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 14387712 is about 3793.1137604875. The cubic root of 14387712 is about 243.2188581868.

The spelling of 14387712 in words is "fourteen million, three hundred eighty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 29 32 34 38 48 51 57 58 64 68 76 87 96 102 114 116 128 136 152 174 192 204 228 232 256 272 304 323 348 384 408 456 464 493 512 544 551 608 646 696 768 816 912 928 969 986 1088 1102 1216 1292 1392 1479 1536 1632 1653 1824 1856 1938 1972 2176 2204 2432 2584 2784 2958 3264 3306 3648 3712 3876 3944 4352 4408 4864 5168 5568 5916 6528 6612 7296 7424 7752 7888 8704 8816 9367 9728 10336 11136 11832 13056 13224 14592 14848 15504 15776 17632 18734 20672 22272 23664 26112 26448 28101 29184 31008 31552 35264 37468 41344 44544 47328 52896 56202 62016 63104 70528 74936 82688 94656 105792 112404 124032 126208 141056 149872 165376 189312 211584 224808 248064 252416 282112 299744 378624 423168 449616 496128 599488 757248 846336 899232 1198976 1798464 2397952 3596928 4795904 7193856 14387712