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14132976 = 24311132971
BaseRepresentation
bin110101111010…
…011011110000
3222121000210120
4311322123300
512104223401
61222530240
7231062004
oct65723360
928530716
1014132976
117a83350
124896980
132c0ab10
141c3c704
151392836
hexd7a6f0

14132976 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3763200.

The previous prime is 14132959. The next prime is 14132981. The reversal of 14132976 is 67923141.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199021 + ... + 199091.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 214132976 is an apocalyptic number.

14132976 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 14132976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

14132976 is an abundant number, since it is smaller than the sum of its proper divisors (30864144).

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

14132976 is a wasteful number, since it uses less digits than its factorization.

14132976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 14132976 is about 3759.3850560963. The cubic root of 14132976 is about 241.7748971156.

The spelling of 14132976 in words is "fourteen million, one hundred thirty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 29 33 39 44 48 52 58 66 71 78 87 88 104 116 132 142 143 156 174 176 208 213 232 264 284 286 312 319 348 377 426 429 464 528 568 572 624 638 696 754 781 852 858 923 957 1131 1136 1144 1276 1392 1508 1562 1704 1716 1846 1914 2059 2262 2288 2343 2552 2769 3016 3124 3408 3432 3692 3828 4118 4147 4524 4686 5104 5538 6032 6177 6248 6864 7384 7656 8236 8294 9048 9372 10153 11076 12354 12441 12496 14768 15312 16472 16588 18096 18744 20306 22152 22649 24708 24882 26767 30459 32944 33176 37488 40612 44304 45298 49416 49764 53534 60918 66352 67947 80301 81224 90596 98832 99528 107068 121836 135894 160602 162448 181192 199056 214136 243672 271788 294437 321204 362384 428272 487344 543576 588874 642408 883311 1087152 1177748 1284816 1766622 2355496 3533244 4710992 7066488 14132976