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20953360 = 245261917
BaseRepresentation
bin100111111101…
…1100100010000
31110102112121101
41033323210100
520331001420
62025034144
7343046341
oct117734420
943375541
1020953360
111091162a
127025954
13445834c
142ad60c8
151c8d60a
hex13fb910

20953360 has 20 divisors (see below), whose sum is σ = 48716748. Its totient is φ = 8381312.

The previous prime is 20953351. The next prime is 20953363. The reversal of 20953360 is 6335902.

20953360 = T3736 + T3737 + T3738.

It can be written as a sum of positive squares in 2 ways, for example, as 6574096 + 14379264 = 2564^2 + 3792^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20953363) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 130879 + ... + 131038.

Almost surely, 220953360 is an apocalyptic number.

20953360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20953360 is the 3738-th centered triangular number.

It is an amenable number.

20953360 is an abundant number, since it is smaller than the sum of its proper divisors (27763388).

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

20953360 is a wasteful number, since it uses less digits than its factorization.

20953360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261930 (or 261924 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 20953360 is about 4577.4840250950. The cubic root of 20953360 is about 275.6880182690.

The spelling of 20953360 in words is "twenty million, nine hundred fifty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 261917 523834 1047668 1309585 2095336 2619170 4190672 5238340 10476680 20953360