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20873628 = 22321930517
BaseRepresentation
bin100111110100…
…0000110011100
31110021111020100
41033220012130
520320424003
62023221100
7342265026
oct117500634
943244210
1020873628
1110867736
126ba7790
13442ac79
142ab5016
151c74ba3
hex13e819c

20873628 has 36 divisors (see below), whose sum is σ = 55542760. Its totient is φ = 6591456.

The previous prime is 20873623. The next prime is 20873639. The reversal of 20873628 is 82637802.

It is a happy number.

20873628 is a `hidden beast` number, since 20 + 8 + 7 + 3 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 20873592 and 20873601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20873623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14575 + ... + 15942.

Almost surely, 220873628 is an apocalyptic number.

It is an amenable number.

20873628 is an abundant number, since it is smaller than the sum of its proper divisors (34669132).

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

20873628 is a wasteful number, since it uses less digits than its factorization.

20873628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30546 (or 30541 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20873628 is about 4568.7665731574. The cubic root of 20873628 is about 275.3378899020.

The spelling of 20873628 in words is "twenty million, eight hundred seventy-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 30517 61034 91551 122068 183102 274653 366204 549306 579823 1098612 1159646 1739469 2319292 3478938 5218407 6957876 10436814 20873628