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20585012 = 22729101251
BaseRepresentation
bin100111010000…
…1101000110100
31102201211022212
41032201220310
520232210022
62013112552
7336653420
oct116415064
942654285
1020585012
111068a908
126a88758
1343597a6
142a3bb80
151c193e2
hex13a1a34

20585012 has 48 divisors (see below), whose sum is σ = 43182720. Its totient is φ = 8400000.

The previous prime is 20584997. The next prime is 20585017. The reversal of 20585012 is 21058502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20585017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81887 + ... + 82137.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 220585012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20585012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591360).

20585012 is an abundant number, since it is smaller than the sum of its proper divisors (22597708).

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

20585012 is a wasteful number, since it uses less digits than its factorization.

20585012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 20585012 is about 4537.0708612496. The cubic root of 20585012 is about 274.0629794668.

The spelling of 20585012 in words is "twenty million, five hundred eighty-five thousand, twelve".

Divisors: 1 2 4 7 14 28 29 58 101 116 202 203 251 404 406 502 707 812 1004 1414 1757 2828 2929 3514 5858 7028 7279 11716 14558 20503 25351 29116 41006 50702 50953 82012 101404 101906 177457 203812 354914 709828 735179 1470358 2940716 5146253 10292506 20585012