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668999300 = 225217974057
BaseRepresentation
bin100111111000000…
…001111010000100
31201121211200111212
4213320001322010
52332230434200
6150214550552
722402254164
oct4770017204
91647750455
10668999300
113136a6092
12168068458
13a87a6a98
1464bc85a4
153daec035
hex27e01e84

668999300 has 72 divisors (see below), whose sum is σ = 1553353704. Its totient is φ = 249200640.

The previous prime is 668999299. The next prime is 668999311. The reversal of 668999300 is 3999866.

It can be written as a sum of positive squares in 12 ways, for example, as 104366656 + 564632644 = 10216^2 + 23762^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

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 23 ways as a sum of consecutive naturals, for example, 162872 + ... + 166928.

It is an arithmetic number, because the mean of its divisors is an integer number (21574357).

Almost surely, 2668999300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668999300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776676852).

668999300 is an abundant number, since it is smaller than the sum of its proper divisors (884354404).

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

668999300 is a wasteful number, since it uses less digits than its factorization.

668999300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 50.

The square root of 668999300 is about 25865.0207809698. The cubic root of 668999300 is about 874.5981501698.

The spelling of 668999300 in words is "six hundred sixty-eight million, nine hundred ninety-nine thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 97 100 170 194 340 388 425 485 850 970 1649 1700 1940 2425 3298 4057 4850 6596 8114 8245 9700 16228 16490 20285 32980 40570 41225 68969 81140 82450 101425 137938 164900 202850 275876 344845 393529 405700 689690 787058 1379380 1574116 1724225 1967645 3448450 3935290 6689993 6896900 7870580 9838225 13379986 19676450 26759972 33449965 39352900 66899930 133799860 167249825 334499650 668999300