Search a number
-
+
16124960 = 255313251
BaseRepresentation
bin111101100000…
…110000100000
31010100020021202
4331200300200
513111444320
61333340332
7254026355
oct75406040
933306252
1016124960
119113a15
1254976a8
1334576c7
1421da62c
151637b75
hexf60c20

16124960 has 48 divisors (see below), whose sum is σ = 39336192. Its totient is φ = 6240000.

The previous prime is 16124917. The next prime is 16124971. The reversal of 16124960 is 6942161.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3335 + ... + 6585.

It is an arithmetic number, because the mean of its divisors is an integer number (819504).

Almost surely, 216124960 is an apocalyptic number.

16124960 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 16124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19668096).

16124960 is an abundant number, since it is smaller than the sum of its proper divisors (23211232).

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

16124960 is a wasteful number, since it uses less digits than its factorization.

16124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 16124960 is about 4015.5896204667. The cubic root of 16124960 is about 252.6385084600.

The spelling of 16124960 in words is "sixteen million, one hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 3251 4960 6502 13004 16255 26008 32510 52016 65020 100781 104032 130040 201562 260080 403124 503905 520160 806248 1007810 1612496 2015620 3224992 4031240 8062480 16124960