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104015680 = 265536133
BaseRepresentation
bin1100011001100…
…10011101000000
321020201112200121
412030302131000
5203112000210
614153230024
72402055466
oct614623500
9236645617
10104015680
115379457a
122aa02314
131871b552
14db58836
1591e96da
hex6332740

104015680 has 56 divisors (see below), whose sum is σ = 252401832. Its totient is φ = 40814592.

The previous prime is 104015669. The next prime is 104015689. The reversal of 104015680 is 86510401.

It can be written as a sum of positive squares in 4 ways, for example, as 47224384 + 56791296 = 6872^2 + 7536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104015689) 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 7 ways as a sum of consecutive naturals, for example, 13894 + ... + 20026.

Almost surely, 2104015680 is an apocalyptic number.

104015680 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 104015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126200916).

104015680 is an abundant number, since it is smaller than the sum of its proper divisors (148386152).

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

104015680 is an equidigital number, since it uses as much as digits as its factorization.

104015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6203 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 104015680 is about 10198.8077734606. The cubic root of 104015680 is about 470.2905702846.

The spelling of 104015680 in words is "one hundred four million, fifteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 1060 1696 2120 3392 4240 6133 8480 12266 16960 24532 30665 49064 61330 98128 122660 196256 245320 325049 392512 490640 650098 981280 1300196 1625245 1962560 2600392 3250490 5200784 6500980 10401568 13001960 20803136 26003920 52007840 104015680