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104160800 = 2552130201
BaseRepresentation
bin1100011010101…
…01111000100000
321020222220202102
412031111320200
5203131121200
614200305532
72403231542
oct615257040
9236886672
10104160800
1153883607
122aa722a8
131876c613
14db95692
1592276d5
hex6355e20

104160800 has 36 divisors (see below), whose sum is σ = 254284506. Its totient is φ = 41664000.

The previous prime is 104160743. The next prime is 104160803. The reversal of 104160800 is 8061401.

It can be written as a sum of positive squares in 3 ways, for example, as 65869456 + 38291344 = 8116^2 + 6188^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (104160803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64301 + ... + 65900.

Almost surely, 2104160800 is an apocalyptic number.

104160800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104160800 is an abundant number, since it is smaller than the sum of its proper divisors (150123706).

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

104160800 is a wasteful number, since it uses less digits than its factorization.

104160800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130221 (or 130208 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 104160800 is about 10205.9198507533. The cubic root of 104160800 is about 470.5091810832.

The spelling of 104160800 in words is "one hundred four million, one hundred sixty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 130201 260402 520804 651005 1041608 1302010 2083216 2604020 3255025 4166432 5208040 6510050 10416080 13020100 20832160 26040200 52080400 104160800