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14931920 = 245186649
BaseRepresentation
bin111000111101…
…011111010000
31001002121202002
4320331133100
512310310140
61252013132
7240630203
oct70753720
931077662
1014931920
118479633
1250011a8
13312a673
141da993a
15149e415
hexe3d7d0

14931920 has 20 divisors (see below), whose sum is σ = 34716900. Its totient is φ = 5972736.

The previous prime is 14931919. The next prime is 14931953. The reversal of 14931920 is 2913941.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11806096 + 3125824 = 3436^2 + 1768^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93245 + ... + 93404.

It is an arithmetic number, because the mean of its divisors is an integer number (1735845).

Almost surely, 214931920 is an apocalyptic number.

14931920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14931920 is an abundant number, since it is smaller than the sum of its proper divisors (19784980).

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

14931920 is a wasteful number, since it uses less digits than its factorization.

14931920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186662 (or 186656 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 14931920 is about 3864.1842606170. The cubic root of 14931920 is about 246.2475310462.

It can be divided in two parts, 14931 and 920, that added together give a palindrome (15851).

The spelling of 14931920 in words is "fourteen million, nine hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 186649 373298 746596 933245 1493192 1866490 2986384 3732980 7465960 14931920