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20632820 = 2251379357
BaseRepresentation
bin100111010110…
…1010011110100
31102211020220112
41032231103310
520240222240
62014122152
7340242665
oct116552364
942736815
1020632820
111071281a
126ab0358
134375490
142a5136c
151c28665
hex13ad4f4

20632820 has 24 divisors (see below), whose sum is σ = 46662504. Its totient is φ = 7618176.

The previous prime is 20632811. The next prime is 20632853. The reversal of 20632820 is 2823602.

It can be written as a sum of positive squares in 4 ways, for example, as 364816 + 20268004 = 604^2 + 4502^2 .

It is a super-2 number, since 2×206328202 = 851426522304800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39419 + ... + 39938.

It is an arithmetic number, because the mean of its divisors is an integer number (1944271).

Almost surely, 220632820 is an apocalyptic number.

20632820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20632820 is an abundant number, since it is smaller than the sum of its proper divisors (26029684).

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

20632820 is a wasteful number, since it uses less digits than its factorization.

20632820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79379 (or 79377 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 20632820 is about 4542.3364032181. The cubic root of 20632820 is about 274.2749827874.

The spelling of 20632820 in words is "twenty million, six hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 79357 158714 317428 396785 793570 1031641 1587140 2063282 4126564 5158205 10316410 20632820