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14896368 = 2432314771
BaseRepresentation
bin111000110100…
…110011110000
31001000210222100
4320310303300
512303140433
61251140400
7240421434
oct70646360
931023870
1014896368
118454953
124ba4700
133117426
141d9a9c4
151493b13
hexe34cf0

14896368 has 120 divisors (see below), whose sum is σ = 44568576. Its totient is φ = 4636800.

The previous prime is 14896333. The next prime is 14896373. The reversal of 14896368 is 86369841.

14896368 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 636 + 8 = 666.

14896368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209773 + ... + 209843.

Almost surely, 214896368 is an apocalyptic number.

14896368 is a gapful number since it is divisible by the number (18) 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 14896368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22284288).

14896368 is an abundant number, since it is smaller than the sum of its proper divisors (29672208).

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

14896368 is a wasteful number, since it uses less digits than its factorization.

14896368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 14896368 is about 3859.5813244444. The cubic root of 14896368 is about 246.0519422342.

The spelling of 14896368 in words is "fourteen million, eight hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 47 48 62 71 72 93 94 124 141 142 144 186 188 213 248 279 282 284 372 376 423 426 496 558 564 568 639 744 752 846 852 1116 1128 1136 1278 1457 1488 1692 1704 2201 2232 2256 2556 2914 3337 3384 3408 4371 4402 4464 5112 5828 6603 6674 6768 8742 8804 10011 10224 11656 13113 13206 13348 17484 17608 19809 20022 23312 26226 26412 26696 30033 34968 35216 39618 40044 52452 52824 53392 60066 69936 79236 80088 103447 104904 105648 120132 158472 160176 206894 209808 240264 310341 316944 413788 480528 620682 827576 931023 1241364 1655152 1862046 2482728 3724092 4965456 7448184 14896368