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104160040 = 2355774513
BaseRepresentation
bin1100011010101…
…01101100101000
321020222212201021
412031111230220
5203131110130
614200302224
72403226405
oct615255450
9236885637
10104160040
1153882a86
122aa71974
131876c17a
14db952ac
15922737a
hex6355b28

104160040 has 32 divisors (see below), whose sum is σ = 234818280. Its totient is φ = 41582592.

The previous prime is 104160029. The next prime is 104160059. The reversal of 104160040 is 40061401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 80676324 + 23483716 = 8982^2 + 4846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 104159996 and 104160023.

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 7 ways as a sum of consecutive naturals, for example, 20824 + ... + 25336.

Almost surely, 2104160040 is an apocalyptic number.

104160040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104160040 is an abundant number, since it is smaller than the sum of its proper divisors (130658240).

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

104160040 is a wasteful number, since it uses less digits than its factorization.

104160040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 104160040 is about 10205.8826173928. The cubic root of 104160040 is about 470.5080367376.

The spelling of 104160040 in words is "one hundred four million, one hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 577 1154 2308 2885 4513 4616 5770 9026 11540 18052 22565 23080 36104 45130 90260 180520 2604001 5208002 10416004 13020005 20832008 26040010 52080020 104160040