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104642660 = 22537413449
BaseRepresentation
bin1100011110010…
…11100001100100
321021220101202002
412033023201210
5203242031120
614214504432
72410306433
oct617134144
9237811662
10104642660
1154082641
122b065118
13188aaa45
14dc7d11a
1592c0375
hex63cb864

104642660 has 48 divisors (see below), whose sum is σ = 231260400. Its totient is φ = 39720960.

The previous prime is 104642647. The next prime is 104642719. The reversal of 104642660 is 66246401.

It can be written as a sum of positive squares in 8 ways, for example, as 22486564 + 82156096 = 4742^2 + 9064^2 .

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 15 ways as a sum of consecutive naturals, for example, 28616 + ... + 32064.

It is an arithmetic number, because the mean of its divisors is an integer number (4817925).

Almost surely, 2104642660 is an apocalyptic number.

104642660 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 104642660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115630200).

104642660 is an abundant number, since it is smaller than the sum of its proper divisors (126617740).

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

104642660 is a wasteful number, since it uses less digits than its factorization.

104642660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 104642660 is about 10229.4994989980. The cubic root of 104642660 is about 471.2336085690.

The spelling of 104642660 in words is "one hundred four million, six hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 37 41 74 82 148 164 185 205 370 410 740 820 1517 3034 3449 6068 6898 7585 13796 15170 17245 30340 34490 68980 127613 141409 255226 282818 510452 565636 638065 707045 1276130 1414090 2552260 2828180 5232133 10464266 20928532 26160665 52321330 104642660