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104916180 = 223517102859
BaseRepresentation
bin1100100000011…
…10010011010100
321022102021221110
412100032103110
5203324304210
614224415020
72412526035
oct620162324
9238367843
10104916180
115424a096
122b177470
13189753a5
14dd10a8c
159326420
hex640e4d4

104916180 has 48 divisors (see below), whose sum is σ = 311048640. Its totient is φ = 26331648.

The previous prime is 104916169. The next prime is 104916181. The reversal of 104916180 is 81619401.

It is a super-2 number, since 2×1049161802 = 22014809651584800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104916181) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50410 + ... + 52449.

It is an arithmetic number, because the mean of its divisors is an integer number (6480180).

Almost surely, 2104916180 is an apocalyptic number.

104916180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104916180 is an abundant number, since it is smaller than the sum of its proper divisors (206132460).

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

104916180 is a wasteful number, since it uses less digits than its factorization.

104916180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102888 (or 102886 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 104916180 is about 10242.8599521813. The cubic root of 104916180 is about 471.6438290221.

The spelling of 104916180 in words is "one hundred four million, nine hundred sixteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 102859 205718 308577 411436 514295 617154 1028590 1234308 1542885 1748603 2057180 3085770 3497206 5245809 6171540 6994412 8743015 10491618 17486030 20983236 26229045 34972060 52458090 104916180