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14090976 = 253347347
BaseRepresentation
bin110101110000…
…001011100000
3222111220012000
4311300023200
512101402401
61222004000
7230525364
oct65601340
928456160
1014090976
117a54839
124876600
132bc4973
141c2b2a4
151385186
hexd702e0

14090976 has 96 divisors (see below), whose sum is σ = 42094080. Its totient is φ = 4583808.

The previous prime is 14090963. The next prime is 14090983. The reversal of 14090976 is 67909041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14090976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40435 + ... + 40781.

It is an arithmetic number, because the mean of its divisors is an integer number (438480).

Almost surely, 214090976 is an apocalyptic number.

14090976 is a gapful number since it is divisible by the number (16) 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 14090976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21047040).

14090976 is an abundant number, since it is smaller than the sum of its proper divisors (28003104).

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

14090976 is a wasteful number, since it uses less digits than its factorization.

14090976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 14090976 is about 3753.7948798516. The cubic root of 14090976 is about 241.5351594194.

The spelling of 14090976 in words is "fourteen million, ninety thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 347 376 423 432 564 694 752 846 864 1041 1128 1269 1388 1504 1692 2082 2256 2538 2776 3123 3384 4164 4512 5076 5552 6246 6768 8328 9369 10152 11104 12492 13536 16309 16656 18738 20304 24984 32618 33312 37476 40608 48927 49968 65236 74952 97854 99936 130472 146781 149904 195708 260944 293562 299808 391416 440343 521888 587124 782832 880686 1174248 1565664 1761372 2348496 3522744 4696992 7045488 14090976