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14262976 = 267133179
BaseRepresentation
bin110110011010…
…001011000000
3222211122010101
4312122023000
512122403401
61225412144
7232143010
oct66321300
928748111
1014262976
118061a92
12493a054
132c55040
141c73c40
1513bb101
hexd9a2c0

14262976 has 112 divisors (see below), whose sum is σ = 36413440. Its totient is φ = 5391360.

The previous prime is 14262923. The next prime is 14262991. The reversal of 14262976 is 67926241.

It is a tau number, because it is divible by the number of its divisors (112).

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, 180505 + ... + 180583.

It is an arithmetic number, because the mean of its divisors is an integer number (325120).

Almost surely, 214262976 is an apocalyptic number.

14262976 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 14262976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206720).

14262976 is an abundant number, since it is smaller than the sum of its proper divisors (22150464).

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

14262976 is a wasteful number, since it uses less digits than its factorization.

14262976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 14262976 is about 3776.6355397364. The cubic root of 14262976 is about 242.5139454197.

The spelling of 14262976 in words is "fourteen million, two hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 79 91 104 112 124 158 182 208 217 224 248 316 364 403 416 434 448 496 553 632 728 806 832 868 992 1027 1106 1264 1456 1612 1736 1984 2054 2212 2449 2528 2821 2912 3224 3472 4108 4424 4898 5056 5642 5824 6448 6944 7189 8216 8848 9796 11284 12896 13888 14378 16432 17143 17696 19592 22568 25792 28756 31837 32864 34286 35392 39184 45136 57512 63674 65728 68572 78368 90272 115024 127348 137144 156736 180544 222859 230048 254696 274288 445718 460096 509392 548576 891436 1018784 1097152 1782872 2037568 3565744 7131488 14262976