Search a number
-
+
14892960 = 2535192371
BaseRepresentation
bin111000110011…
…111110100000
31001000122022010
4320303332200
512303033320
61251112520
7240405465
oct70637640
931018263
1014892960
118452335
124ba2740
133115a04
141d9966c
151492ae0
hexe33fa0

14892960 has 192 divisors, whose sum is σ = 52254720. Its totient is φ = 3548160.

The previous prime is 14892959. The next prime is 14892973. The reversal of 14892960 is 6929841.

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 31 ways as a sum of consecutive naturals, for example, 209725 + ... + 209795.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 214892960 is an apocalyptic number.

14892960 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 14892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

14892960 is an abundant number, since it is smaller than the sum of its proper divisors (37361760).

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

14892960 is a wasteful number, since it uses less digits than its factorization.

14892960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 14892960 is about 3859.1398005255. The cubic root of 14892960 is about 246.0331768328.

The spelling of 14892960 in words is "fourteen million, eight hundred ninety-two thousand, nine hundred sixty".