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104536464 = 24331163431
BaseRepresentation
bin1100011101100…
…01100110010000
321021201000001220
412032301212100
5203230131324
614212325040
72406355014
oct616614620
9237630056
10104536464
115400a87a
122b013780
13188715c6
14dc52544
15929db79
hex63b1990

104536464 has 80 divisors (see below), whose sum is σ = 281124864. Its totient is φ = 33436800.

The previous prime is 104536457. The next prime is 104536469. The reversal of 104536464 is 464635401.

It is a super-4 number, since 4×1045364644 (a number of 33 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (104536469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242329 + ... + 242759.

Almost surely, 2104536464 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 104536464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140562432).

104536464 is an abundant number, since it is smaller than the sum of its proper divisors (176588400).

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

104536464 is a wasteful number, since it uses less digits than its factorization.

104536464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 104536464 is about 10224.3075071126. The cubic root of 104536464 is about 471.0741450433.

The spelling of 104536464 in words is "one hundred four million, five hundred thirty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 163 186 248 326 372 431 489 496 652 744 862 978 1293 1304 1488 1724 1956 2586 2608 3448 3912 5053 5172 6896 7824 10106 10344 13361 15159 20212 20688 26722 30318 40083 40424 53444 60636 70253 80166 80848 106888 121272 140506 160332 210759 213776 242544 281012 320664 421518 562024 641328 843036 1124048 1686072 2177843 3372144 4355686 6533529 8711372 13067058 17422744 26134116 34845488 52268232 104536464