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20959272 = 2332291101
BaseRepresentation
bin100111111110…
…1000000101000
31110102211201100
41033331000220
520331144042
62025121400
7343102515
oct117750050
943384640
1020959272
1110916014
127029260
13445ac49
142ad830c
151c9024c
hex13fd028

20959272 has 24 divisors (see below), whose sum is σ = 56764890. Its totient is φ = 6986400.

The previous prime is 20959247. The next prime is 20959273. The reversal of 20959272 is 27295902.

It can be written as a sum of positive squares in only one way, i.e., 14333796 + 6625476 = 3786^2 + 2574^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20959273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145479 + ... + 145622.

Almost surely, 220959272 is an apocalyptic number.

It is an amenable number.

20959272 is an abundant number, since it is smaller than the sum of its proper divisors (35805618).

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

20959272 is a wasteful number, since it uses less digits than its factorization.

20959272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291113 (or 291106 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 20959272 is about 4578.1297491443. The cubic root of 20959272 is about 275.7139443305.

The spelling of 20959272 in words is "twenty million, nine hundred fifty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 291101 582202 873303 1164404 1746606 2328808 2619909 3493212 5239818 6986424 10479636 20959272