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14107392 = 283313157
BaseRepresentation
bin110101110100…
…001100000000
3222112201201000
4311310030000
512102414032
61222212000
7230624265
oct65641400
928481630
1014107392
117a66102
124884000
132bcc290
141c3326c
151389e7c
hexd74300

14107392 has 144 divisors (see below), whose sum is σ = 45213280. Its totient is φ = 4313088.

The previous prime is 14107363. The next prime is 14107393. The reversal of 14107392 is 29370141.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14107393) 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, 89778 + ... + 89934.

Almost surely, 214107392 is an apocalyptic number.

14107392 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 14107392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22606640).

14107392 is an abundant number, since it is smaller than the sum of its proper divisors (31105888).

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

14107392 is a wasteful number, since it uses less digits than its factorization.

14107392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14107392 is about 3755.9808306220. The cubic root of 14107392 is about 241.6289192463.

The spelling of 14107392 in words is "fourteen million, one hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 157 192 208 216 234 256 288 312 314 351 384 416 432 468 471 576 624 628 702 768 832 864 936 942 1152 1248 1256 1404 1413 1664 1728 1872 1884 2041 2304 2496 2512 2808 2826 3328 3456 3744 3768 4082 4239 4992 5024 5616 5652 6123 6912 7488 7536 8164 8478 9984 10048 11232 11304 12246 14976 15072 16328 16956 18369 20096 22464 22608 24492 29952 30144 32656 33912 36738 40192 44928 45216 48984 55107 60288 65312 67824 73476 89856 90432 97968 110214 120576 130624 135648 146952 180864 195936 220428 261248 271296 293904 361728 391872 440856 522496 542592 587808 783744 881712 1085184 1175616 1567488 1763424 2351232 3526848 4702464 7053696 14107392