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104160000 = 28354731
BaseRepresentation
bin1100011010101…
…01101100000000
321020222212122210
412031111230000
5203131110000
614200302120
72403226320
oct615255400
9236885583
10104160000
1153882a4a
122aa71940
131876c149
14db95280
159227350
hex6355b00

104160000 has 360 divisors, whose sum is σ = 408669184. Its totient is φ = 23040000.

The previous prime is 104159981. The next prime is 104160011. The reversal of 104160000 is 61401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3359985 + ... + 3360015.

Almost surely, 2104160000 is an apocalyptic number.

104160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204334592).

104160000 is an abundant number, since it is smaller than the sum of its proper divisors (304509184).

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

104160000 is an frugal number, since it uses more digits than its factorization.

104160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 104160000 is about 10205.8806577385. The cubic root of 104160000 is about 470.5079765087.

The spelling of 104160000 in words is "one hundred four million, one hundred sixty thousand".