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66900800 = 265241813
BaseRepresentation
bin1111111100110…
…1001101000000
311122212220122102
43333031031000
5114111311200
610345525532
71441435031
oct377151500
9148786572
1066900800
113484461a
121a4a38a8
1310b24c95
148c56a88
155d176d5
hex3fcd340

66900800 has 42 divisors (see below), whose sum is σ = 164621718. Its totient is φ = 26759680.

The previous prime is 66900751. The next prime is 66900817. The reversal of 66900800 is 800966.

It can be written as a sum of positive squares in 3 ways, for example, as 53824 + 66846976 = 232^2 + 8176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19307 + ... + 22506.

Almost surely, 266900800 is an apocalyptic number.

It is an amenable number.

66900800 is an abundant number, since it is smaller than the sum of its proper divisors (97720918).

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

66900800 is a wasteful number, since it uses less digits than its factorization.

66900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41835 (or 41820 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 66900800 is about 8179.2909228123. The cubic root of 66900800 is about 405.9542605012.

The spelling of 66900800 in words is "sixty-six million, nine hundred thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 41813 83626 167252 209065 334504 418130 669008 836260 1045325 1338016 1672520 2090650 2676032 3345040 4181300 6690080 8362600 13380160 16725200 33450400 66900800