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104670564 = 223173891319
BaseRepresentation
bin1100011110100…
…10010101100100
321021221211000120
412033102111210
5203243424224
614215241540
72410453665
oct617222544
9237854016
10104670564
11540a15a9
122b0792b0
13188ba65b
14dc8936c
1592c8779
hex63d2564

104670564 has 48 divisors (see below), whose sum is σ = 259459200. Its totient is φ = 32728576.

The previous prime is 104670529. The next prime is 104670593. The reversal of 104670564 is 465076401.

104670564 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

104670564 is strictly pandigital in base 9.

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 15 ways as a sum of consecutive naturals, for example, 78697 + ... + 80015.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2104670564 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 104670564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129729600).

104670564 is an abundant number, since it is smaller than the sum of its proper divisors (154788636).

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

104670564 is a wasteful number, since it uses less digits than its factorization.

104670564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 104670564 is about 10230.8633066814. The cubic root of 104670564 is about 471.2754912135.

The spelling of 104670564 in words is "one hundred four million, six hundred seventy thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 389 778 1167 1319 1556 2334 2638 3957 4668 5276 6613 7914 13226 15828 19839 22423 26452 39678 44846 67269 79356 89692 134538 269076 513091 1026182 1539273 2052364 3078546 6157092 8722547 17445094 26167641 34890188 52335282 104670564