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14906320 = 24511131303
BaseRepresentation
bin111000110111…
…001111010000
31001001022121221
4320313033100
512304000240
61251254424
7240462442
oct70671720
931038557
1014906320
118461380
124baa414
13311bb10
141da0492
151496a4a
hexe373d0

14906320 has 80 divisors (see below), whose sum is σ = 40747392. Its totient is φ = 4999680.

The previous prime is 14906299. The next prime is 14906357. The reversal of 14906320 is 2360941.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 10789 + ... + 12091.

Almost surely, 214906320 is an apocalyptic number.

14906320 is a gapful number since it is divisible by the number (10) 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 14906320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20373696).

14906320 is an abundant number, since it is smaller than the sum of its proper divisors (25841072).

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

14906320 is a wasteful number, since it uses less digits than its factorization.

14906320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 14906320 is about 3860.8703681942. The cubic root of 14906320 is about 246.1067243533.

The spelling of 14906320 in words is "fourteen million, nine hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1303 1430 2288 2606 2860 5212 5720 6515 10424 11440 13030 14333 16939 20848 26060 28666 33878 52120 57332 67756 71665 84695 104240 114664 135512 143330 169390 186329 229328 271024 286660 338780 372658 573320 677560 745316 931645 1146640 1355120 1490632 1863290 2981264 3726580 7453160 14906320