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668806800 = 24352557339
BaseRepresentation
bin100111110111010…
…010111010010000
31201121110220110020
4213313102322100
52332203304200
6150210503440
722400523024
oct4767227220
91647426406
10668806800
113135844a2
12167b94b80
13a873a28c
1464b78384
153daaeea0
hex27dd2e90

668806800 has 60 divisors (see below), whose sum is σ = 2142414960. Its totient is φ = 178348160.

The previous prime is 668806799. The next prime is 668806807. The reversal of 668806800 is 8608866.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (668806807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277470 + ... + 279869.

It is an arithmetic number, because the mean of its divisors is an integer number (35706916).

Almost surely, 2668806800 is an apocalyptic number.

668806800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668806800 is an abundant number, since it is smaller than the sum of its proper divisors (1473608160).

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

668806800 is a wasteful number, since it uses less digits than its factorization.

668806800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557360 (or 557349 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 668806800 is about 25861.2992713050. The cubic root of 668806800 is about 874.5142555655.

The spelling of 668806800 in words is "six hundred sixty-eight million, eight hundred six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 557339 1114678 1672017 2229356 2786695 3344034 4458712 5573390 6688068 8360085 8917424 11146780 13376136 13933475 16720170 22293560 26752272 27866950 33440340 41800425 44587120 55733900 66880680 83600850 111467800 133761360 167201700 222935600 334403400 668806800