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14250368 = 271129349
BaseRepresentation
bin110110010111…
…000110000000
3222210222211102
4312113012000
512122002433
61225233532
7232061156
oct66270600
928728742
1014250368
118053570
1249328a8
132c4c392
141c6d3d6
1513b74e8
hexd97180

14250368 has 64 divisors (see below), whose sum is σ = 32130000. Its totient is φ = 6236160.

The previous prime is 14250349. The next prime is 14250371. The reversal of 14250368 is 86305241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 14250368.

It is a congruent number.

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, 40658 + ... + 41006.

Almost surely, 214250368 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 14250368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16065000).

14250368 is an abundant number, since it is smaller than the sum of its proper divisors (17879632).

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

14250368 is a wasteful number, since it uses less digits than its factorization.

14250368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 14250368 is about 3774.9659601114. The cubic root of 14250368 is about 242.4424662462.

The spelling of 14250368 in words is "fourteen million, two hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 319 349 352 464 638 698 704 928 1276 1396 1408 1856 2552 2792 3712 3839 5104 5584 7678 10121 10208 11168 15356 20242 20416 22336 30712 40484 40832 44672 61424 80968 111331 122848 161936 222662 245696 323872 445324 491392 647744 890648 1295488 1781296 3562592 7125184 14250368