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20864584 = 23131910559
BaseRepresentation
bin100111110010…
…1111001001000
31110021000211101
41033211321020
520320131314
62023111144
7342226456
oct117457110
943230741
1020864584
1110860964
126ba24b4
134426b10
142ab19d6
151c72174
hex13e5e48

20864584 has 32 divisors (see below), whose sum is σ = 44352000. Its totient is φ = 9122112.

The previous prime is 20864573. The next prime is 20864587. The reversal of 20864584 is 48546802.

It is not an unprimeable number, because it can be changed into a prime (20864587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3304 + ... + 7255.

It is an arithmetic number, because the mean of its divisors is an integer number (1386000).

Almost surely, 220864584 is an apocalyptic number.

It is an amenable number.

20864584 is an abundant number, since it is smaller than the sum of its proper divisors (23487416).

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

20864584 is a wasteful number, since it uses less digits than its factorization.

20864584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10597 (or 10593 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 20864584 is about 4567.7767020729. The cubic root of 20864584 is about 275.2981185758.

It can be divided in two parts, 2086 and 4584, that added together give a triangular number (6670 = T115).

The spelling of 20864584 in words is "twenty million, eight hundred sixty-four thousand, five hundred eighty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1976 10559 21118 42236 84472 137267 200621 274534 401242 549068 802484 1098136 1604968 2608073 5216146 10432292 20864584