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104007660 = 223513712653
BaseRepresentation
bin1100011001100…
…00011111101100
321020201010200120
412030300133230
5203111221120
614153124540
72402023221
oct614603754
9236633616
10104007660
1153789549
122a9b9750
13187179c3
14db55948
1591e7140
hex63307ec

104007660 has 48 divisors (see below), whose sum is σ = 293370336. Its totient is φ = 27530752.

The previous prime is 104007641. The next prime is 104007661. The reversal of 104007660 is 66700401.

It is a self number, because there is not a number n which added to its sum of digits gives 104007660.

It is not an unprimeable number, because it can be changed into a prime (104007661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1894 + ... + 14546.

It is an arithmetic number, because the mean of its divisors is an integer number (6111882).

Almost surely, 2104007660 is an apocalyptic number.

104007660 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 104007660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146685168).

104007660 is an abundant number, since it is smaller than the sum of its proper divisors (189362676).

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

104007660 is a wasteful number, since it uses less digits than its factorization.

104007660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12802 (or 12800 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 104007660 is about 10198.4145826692. The cubic root of 104007660 is about 470.2784829169.

The spelling of 104007660 in words is "one hundred four million, seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 12653 25306 37959 50612 63265 75918 126530 151836 189795 253060 379590 759180 1733461 3466922 5200383 6933844 8667305 10400766 17334610 20801532 26001915 34669220 52003830 104007660