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104775696 = 24328532
BaseRepresentation
bin1100011111011…
…00000000010000
321022011011020100
412033230000100
5203310310241
614221412400
72411402334
oct617540020
9238134210
10104775696
1154163593
122b10a100
131892646c
14dcb57c4
1592e99b6
hex63ec010

104775696 has 45 divisors (see below), whose sum is σ = 293570589. Its totient is φ = 34884288.

The previous prime is 104775667. The next prime is 104775703. The reversal of 104775696 is 696577401.

It is a happy number.

The square root of 104775696 is 10236.

It is a perfect power (a square), and thus also a powerful number.

104775696 is a `hidden beast` number, since 10 + 4 + 77 + 569 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6051600 + 98724096 = 2460^2 + 9936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 122406 + ... + 123258.

Almost surely, 2104775696 is an apocalyptic number.

104775696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104775696 is the 10236-th square number.

It is an amenable number.

104775696 is an abundant number, since it is smaller than the sum of its proper divisors (188794893).

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

104775696 is an frugal number, since it uses more digits than its factorization.

104775696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The cubic root of 104775696 is about 471.4332227798.

The spelling of 104775696 in words is "one hundred four million, seven hundred seventy-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 853 1706 2559 3412 5118 6824 7677 10236 13648 15354 20472 30708 40944 61416 122832 727609 1455218 2182827 2910436 4365654 5820872 6548481 8731308 11641744 13096962 17462616 26193924 34925232 52387848 104775696