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14392672 = 257267137
BaseRepresentation
bin110110111001…
…110101100000
31000002020000221
4312321311200
512141031142
61232252424
7233223100
oct66716540
930066027
1014392672
118140478
1249a1114
132c9c098
141ca9200
1513e4767
hexdb9d60

14392672 has 72 divisors (see below), whose sum is σ = 33697944. Its totient is φ = 6031872.

The previous prime is 14392663. The next prime is 14392691. The reversal of 14392672 is 27629341.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104988 + ... + 105124.

It is an arithmetic number, because the mean of its divisors is an integer number (468027).

Almost surely, 214392672 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 14392672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848972).

14392672 is an abundant number, since it is smaller than the sum of its proper divisors (19305272).

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

14392672 is a wasteful number, since it uses less digits than its factorization.

14392672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 14392672 is about 3793.7675205526. The cubic root of 14392672 is about 243.2468039537.

The spelling of 14392672 in words is "fourteen million, three hundred ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 67 98 112 134 137 196 224 268 274 392 469 536 548 784 938 959 1072 1096 1568 1876 1918 2144 2192 3283 3752 3836 4384 6566 6713 7504 7672 9179 13132 13426 15008 15344 18358 26264 26852 30688 36716 52528 53704 64253 73432 105056 107408 128506 146864 214816 257012 293728 449771 514024 899542 1028048 1799084 2056096 3598168 7196336 14392672