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20756628 = 2233192191
BaseRepresentation
bin100111100101…
…1100010010100
31110001112202000
41033023202110
520303203003
62020515300
7341266644
oct117134224
943045660
1020756628
1110797842
126b4bb30
1343b9939
142a84524
151c501a3
hex13cb894

20756628 has 24 divisors (see below), whose sum is σ = 53813760. Its totient is φ = 6918840.

The previous prime is 20756623. The next prime is 20756629. The reversal of 20756628 is 82665702.

20756628 is a `hidden beast` number, since 20 + 7 + 5 + 6 + 628 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 20756592 and 20756601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20756621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95988 + ... + 96203.

It is an arithmetic number, because the mean of its divisors is an integer number (2242240).

Almost surely, 220756628 is an apocalyptic number.

It is an amenable number.

20756628 is an abundant number, since it is smaller than the sum of its proper divisors (33057132).

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

20756628 is a wasteful number, since it uses less digits than its factorization.

20756628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192204 (or 192196 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 20756628 is about 4555.9442490004. The cubic root of 20756628 is about 274.8224881961.

The spelling of 20756628 in words is "twenty million, seven hundred fifty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 192191 384382 576573 768764 1153146 1729719 2306292 3459438 5189157 6918876 10378314 20756628