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104733864 = 2333677237
BaseRepresentation
bin1100011111000…
…01110010101000
321022002000212000
412033201302220
5203302440424
614220451000
72411136354
oct617416250
9238060760
10104733864
1154135114
122b0a9a60
1318910401
14dca4464
1592dc3c9
hex63e1ca8

104733864 has 64 divisors (see below), whose sum is σ = 295310400. Its totient is φ = 34385472.

The previous prime is 104733851. The next prime is 104733887. The reversal of 104733864 is 468337401.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10854 + ... + 18090.

It is an arithmetic number, because the mean of its divisors is an integer number (4614225).

Almost surely, 2104733864 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 104733864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147655200).

104733864 is an abundant number, since it is smaller than the sum of its proper divisors (190576536).

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

104733864 is a wasteful number, since it uses less digits than its factorization.

104733864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7319 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 104733864 is about 10233.9564196844. The cubic root of 104733864 is about 471.3704740684.

The spelling of 104733864 in words is "one hundred four million, seven hundred thirty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 7236 7237 14472 14474 21711 28948 43422 57896 65133 86844 130266 173688 195399 260532 390798 484879 521064 781596 969758 1454637 1563192 1939516 2909274 3879032 4363911 5818548 8727822 11637096 13091733 17455644 26183466 34911288 52366932 104733864