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14713920 = 2633513131
BaseRepresentation
bin111000001000…
…010001000000
31000200112201000
4320020101000
512231321140
61243212000
7236031504
oct70102100
930615630
1014713920
11833a871
124b17000
133082380
141d50304
151459a30
hexe08440

14713920 has 224 divisors, whose sum is σ = 56327040. Its totient is φ = 3594240.

The previous prime is 14713889. The next prime is 14713927. The reversal of 14713920 is 2931741.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14713927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112255 + ... + 112385.

It is an arithmetic number, because the mean of its divisors is an integer number (251460).

Almost surely, 214713920 is an apocalyptic number.

14713920 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 14713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28163520).

14713920 is an abundant number, since it is smaller than the sum of its proper divisors (41613120).

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

14713920 is a wasteful number, since it uses less digits than its factorization.

14713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14713920 is about 3835.8727820406. The cubic root of 14713920 is about 245.0432798731.

The spelling of 14713920 in words is "fourteen million, seven hundred thirteen thousand, nine hundred twenty".