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20164608 = 21232547
BaseRepresentation
bin100110011101…
…1000000000000
31101221110122100
41030323000000
520130231413
62000110400
7333252642
oct114730000
941843570
1020164608
1110422a72
126905400
134240329
14296c892
151b84a73
hex133b000

20164608 has 78 divisors (see below), whose sum is σ = 58352684. Its totient is φ = 6709248.

The previous prime is 20164597. The next prime is 20164621. The reversal of 20164608 is 80646102.

It is a super-2 number, since 2×201646082 = 813222831587328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36591 + ... + 37137.

Almost surely, 220164608 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 20164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29176342).

20164608 is an abundant number, since it is smaller than the sum of its proper divisors (38188076).

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

20164608 is an equidigital number, since it uses as much as digits as its factorization.

20164608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20164608 is about 4490.5019763942. The cubic root of 20164608 is about 272.1844193392.

The spelling of 20164608 in words is "twenty million, one hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 547 576 768 1024 1094 1152 1536 1641 2048 2188 2304 3072 3282 4096 4376 4608 4923 6144 6564 8752 9216 9846 12288 13128 17504 18432 19692 26256 35008 36864 39384 52512 70016 78768 105024 140032 157536 210048 280064 315072 420096 560128 630144 840192 1120256 1260288 1680384 2240512 2520576 3360768 5041152 6721536 10082304 20164608