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8056100 = 2252136197
BaseRepresentation
bin11110101110110100100100
3120011021220002
4132232310210
54030243400
6444400432
7125322113
oct36566444
916137802
108056100
114602738
122846118
131890b30
1410d9c7a
15a91ed5
hex7aed24

8056100 has 36 divisors (see below), whose sum is σ = 18829524. Its totient is φ = 2974080.

The previous prime is 8056099. The next prime is 8056123. The reversal of 8056100 is 16508.

It can be written as a sum of positive squares in 6 ways, for example, as 1170724 + 6885376 = 1082^2 + 2624^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1799 + ... + 4398.

Almost surely, 28056100 is an apocalyptic number.

It is an amenable number.

8056100 is an abundant number, since it is smaller than the sum of its proper divisors (10773424).

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

8056100 is a wasteful number, since it uses less digits than its factorization.

8056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 8056100 is about 2838.3269720030. The cubic root of 8056100 is about 200.4664114562.

The spelling of 8056100 in words is "eight million, fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 6197 12394 24788 30985 61970 80561 123940 154925 161122 309850 322244 402805 619700 805610 1611220 2014025 4028050 8056100