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20295616 = 2611127227
BaseRepresentation
bin100110101101…
…0111111000000
31102012010100111
41031122333000
520143424431
62003001104
7334336615
oct115327700
942163314
1020295616
1110502440
126969194
134287b53
1429a450c
151bad7b1
hex135afc0

20295616 has 56 divisors (see below), whose sum is σ = 44476416. Its totient is φ = 9112320.

The previous prime is 20295599. The next prime is 20295623. The reversal of 20295616 is 61659202.

It is a congruent number.

It is an unprimeable number.

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, 89295 + ... + 89521.

Almost surely, 220295616 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 20295616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238208).

20295616 is an abundant number, since it is smaller than the sum of its proper divisors (24180800).

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

20295616 is a wasteful number, since it uses less digits than its factorization.

20295616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 20295616 is about 4505.0655933072. The cubic root of 20295616 is about 272.7726015431.

The spelling of 20295616 in words is "twenty million, two hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 176 227 254 352 454 508 704 908 1016 1397 1816 2032 2497 2794 3632 4064 4994 5588 7264 8128 9988 11176 14528 19976 22352 28829 39952 44704 57658 79904 89408 115316 159808 230632 317119 461264 634238 922528 1268476 1845056 2536952 5073904 10147808 20295616