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104690768 = 2471325531
BaseRepresentation
bin1100011110101…
…11010001010000
321021222211201212
412033113101100
5203300101033
614215515252
72410566620
oct617272120
9237884655
10104690768
11541057a6
122b088b28
13188c6900
14dc92880
1592ce748
hex63d7450

104690768 has 60 divisors (see below), whose sum is σ = 251064288. Its totient is φ = 41408640.

The previous prime is 104690759. The next prime is 104690809. The reversal of 104690768 is 867096401.

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 11 ways as a sum of consecutive naturals, for example, 16163 + ... + 21693.

Almost surely, 2104690768 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 104690768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125532144).

104690768 is an abundant number, since it is smaller than the sum of its proper divisors (146373520).

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

104690768 is a wasteful number, since it uses less digits than its factorization.

104690768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572 (or 5553 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 104690768 is about 10231.8506634919. The cubic root of 104690768 is about 471.3058118598.

The spelling of 104690768 in words is "one hundred four million, six hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 1183 1352 1456 2366 2704 4732 5531 9464 11062 18928 22124 38717 44248 71903 77434 88496 143806 154868 287612 309736 503321 575224 619472 934739 1006642 1150448 1869478 2013284 3738956 4026568 6543173 7477912 8053136 13086346 14955824 26172692 52345384 104690768