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103864764 = 22317712101
BaseRepresentation
bin1100011000011…
…01100110111100
321020102212200010
412030031212330
5203042133024
614150103220
72400556503
oct614154674
9236385603
10103864764
11536a1153
122a94ab10
1318697953
14db1983a
1591b9b29
hex630d9bc

103864764 has 72 divisors (see below), whose sum is σ = 262849104. Its totient is φ = 31808000.

The previous prime is 103864759. The next prime is 103864777. The reversal of 103864764 is 467468301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028314 + ... + 1028414.

It is an arithmetic number, because the mean of its divisors is an integer number (3650682).

Almost surely, 2103864764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103864764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131424552).

103864764 is an abundant number, since it is smaller than the sum of its proper divisors (158984340).

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

103864764 is a wasteful number, since it uses less digits than its factorization.

103864764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 103864764 is about 10191.4063798869. The cubic root of 103864764 is about 470.0630125264.

The spelling of 103864764 in words is "one hundred three million, eight hundred sixty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 101 102 142 202 204 213 284 303 404 426 606 852 1207 1212 1717 2414 3434 3621 4828 5041 5151 6868 7171 7242 10082 10302 14342 14484 15123 20164 20604 21513 28684 30246 43026 60492 85697 86052 121907 171394 243814 257091 342788 365721 487628 509141 514182 731442 1018282 1028364 1462884 1527423 2036564 3054846 6109692 8655397 17310794 25966191 34621588 51932382 103864764