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104929960 = 2352623249
BaseRepresentation
bin1100100000100…
…01101010101000
321022102222211211
412100101222220
5203330224320
614225002504
72412614152
oct620215250
9238388754
10104929960
1154259483
122b183434
131897b745
14dd15ad2
15932a55a
hex6411aa8

104929960 has 16 divisors (see below), whose sum is σ = 236092500. Its totient is φ = 41971968.

The previous prime is 104929949. The next prime is 104929961. The reversal of 104929960 is 69929401.

It can be written as a sum of positive squares in 2 ways, for example, as 88397604 + 16532356 = 9402^2 + 4066^2 .

It is a super-2 number, since 2×1049299602 = 22020593011203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2623249 = 104929960 / (1 + 0 + 4 + 9 + 2 + 9 + 9 + 6 + 0).

It is not an unprimeable number, because it can be changed into a prime (104929961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1311585 + ... + 1311664.

Almost surely, 2104929960 is an apocalyptic number.

104929960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104929960 is an abundant number, since it is smaller than the sum of its proper divisors (131162540).

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

104929960 is a wasteful number, since it uses less digits than its factorization.

104929960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623260 (or 2623256 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 104929960 is about 10243.5325937881. The cubic root of 104929960 is about 471.6644771479.

The spelling of 104929960 in words is "one hundred four million, nine hundred twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 2623249 5246498 10492996 13116245 20985992 26232490 52464980 104929960