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14920672 = 251323189
BaseRepresentation
bin111000111010…
…101111100000
31001002001022111
4320322233200
512304430142
61251445104
7240552334
oct70725740
931061274
1014920672
118471138
124bb6794
133125500
141da57c4
15149ae17
hexe3abe0

14920672 has 72 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 6589440.

The previous prime is 14920663. The next prime is 14920673. The reversal of 14920672 is 27602941.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14920673) by changing a digit.

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, 167604 + ... + 167692.

It is an arithmetic number, because the mean of its divisors is an integer number (461160).

Almost surely, 214920672 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 14920672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

14920672 is an abundant number, since it is smaller than the sum of its proper divisors (18282848).

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

14920672 is a wasteful number, since it uses less digits than its factorization.

14920672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 14920672 is about 3862.7285692888. The cubic root of 14920672 is about 246.1856839428.

The spelling of 14920672 in words is "fourteen million, nine hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 89 104 124 169 178 208 248 338 356 403 416 496 676 712 806 992 1157 1352 1424 1612 2314 2704 2759 2848 3224 4628 5239 5408 5518 6448 9256 10478 11036 12896 15041 18512 20956 22072 30082 35867 37024 41912 44144 60164 71734 83824 88288 120328 143468 167648 240656 286936 466271 481312 573872 932542 1147744 1865084 3730168 7460336 14920672