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14966920 = 235374173
BaseRepresentation
bin111001000110…
…000010001000
31001011101202101
4321012002020
512312420140
61252443144
7241134223
oct71060210
931141671
1014966920
1184a2961
1250194b4
133140587
141db85ba
1514a999a
hexe46088

14966920 has 16 divisors (see below), whose sum is σ = 33675660. Its totient is φ = 5986752.

The previous prime is 14966911. The next prime is 14966923. The reversal of 14966920 is 2966941.

It can be written as a sum of positive squares in 2 ways, for example, as 12124324 + 2842596 = 3482^2 + 1686^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14966920.

It is not an unprimeable number, because it can be changed into a prime (14966923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187047 + ... + 187126.

Almost surely, 214966920 is an apocalyptic number.

14966920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14966920 is an abundant number, since it is smaller than the sum of its proper divisors (18708740).

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

14966920 is a wasteful number, since it uses less digits than its factorization.

14966920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374184 (or 374180 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 14966920 is about 3868.7103794417. The cubic root of 14966920 is about 246.4397800085.

The spelling of 14966920 in words is "fourteen million, nine hundred sixty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 374173 748346 1496692 1870865 2993384 3741730 7483460 14966920