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14250768 = 243727383
BaseRepresentation
bin110110010111…
…001100010000
3222211000101020
4312113030100
512122011033
61225235440
7232062300
oct66271420
928730336
1014250768
1180538a4
124932b80
132c4c60c
141c6d600
1513b76b3
hexd97310

14250768 has 120 divisors (see below), whose sum is σ = 43934688. Its totient is φ = 3967488.

The previous prime is 14250767. The next prime is 14250781. The reversal of 14250768 is 86705241.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14250763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171655 + ... + 171737.

Almost surely, 214250768 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 14250768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21967344).

14250768 is an abundant number, since it is smaller than the sum of its proper divisors (29683920).

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

14250768 is a wasteful number, since it uses less digits than its factorization.

14250768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 14250768 is about 3775.0189403498. The cubic root of 14250768 is about 242.4447346339. Note that the first 3 decimals are identical.

The spelling of 14250768 in words is "fourteen million, two hundred fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 73 83 84 98 112 146 147 166 168 196 219 249 292 294 332 336 392 438 498 511 581 584 588 664 784 876 996 1022 1162 1168 1176 1328 1533 1743 1752 1992 2044 2324 2352 3066 3486 3504 3577 3984 4067 4088 4648 6059 6132 6972 7154 8134 8176 9296 10731 12118 12201 12264 13944 14308 16268 18177 21462 24236 24402 24528 27888 28616 32536 36354 42413 42924 48472 48804 57232 65072 72708 84826 85848 96944 97608 127239 145416 169652 171696 195216 254478 290832 296891 339304 508956 593782 678608 890673 1017912 1187564 1781346 2035824 2375128 3562692 4750256 7125384 14250768