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104190480 = 24325144709
BaseRepresentation
bin1100011010111…
…01001000010000
321021001102110200
412031131020100
5203133043410
614201055200
72403414222
oct615351020
9237042420
10104190480
11538a3939
122aa87500
131877cc94
14dba2412
1592313c0
hex635d210

104190480 has 60 divisors (see below), whose sum is σ = 349908780. Its totient is φ = 27783936.

The previous prime is 104190451. The next prime is 104190497. The reversal of 104190480 is 84091401.

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 83832336 = 4512^2 + 9156^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1041904802 = 21711312245260800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 71635 + ... + 73074.

It is an arithmetic number, because the mean of its divisors is an integer number (5831813).

Almost surely, 2104190480 is an apocalyptic number.

104190480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104190480 is an abundant number, since it is smaller than the sum of its proper divisors (245718300).

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

104190480 is a wasteful number, since it uses less digits than its factorization.

104190480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144728 (or 144719 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 104190480 is about 10207.3738052449. The cubic root of 104190480 is about 470.5538664361.

The spelling of 104190480 in words is "one hundred four million, one hundred ninety thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 144709 289418 434127 578836 723545 868254 1157672 1302381 1447090 1736508 2170635 2315344 2604762 2894180 3473016 4341270 5209524 5788360 6511905 6946032 8682540 10419048 11576720 13023810 17365080 20838096 26047620 34730160 52095240 104190480