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104795712 = 2632724779
BaseRepresentation
bin1100011111100…
…00111001000000
321022012011200200
412033300321000
5203311430322
614222045200
72411514600
oct617607100
9238164620
10104795712
115417762a
122b119800
13189325c8
14dcbcc00
1593008ac
hex63f0e40

104795712 has 252 divisors, whose sum is σ = 361370880. Its totient is φ = 28933632.

The previous prime is 104795707. The next prime is 104795731. The reversal of 104795712 is 217597401.

It is a happy number.

104795712 is a `hidden beast` number, since 10 + 4 + 79 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1326489 + ... + 1326567.

Almost surely, 2104795712 is an apocalyptic number.

104795712 is a gapful number since it is divisible by the number (12) 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 104795712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180685440).

104795712 is an abundant number, since it is smaller than the sum of its proper divisors (256575168).

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

104795712 is a wasteful number, since it uses less digits than its factorization.

104795712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 104795712 is about 10236.9776789832. The cubic root of 104795712 is about 471.4632412126.

The spelling of 104795712 in words is "one hundred four million, seven hundred ninety-five thousand, seven hundred twelve".