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676363700 = 2252173710753
BaseRepresentation
bin101000010100000…
…111110110110100
31202010200211120102
4220110013312310
52341122114300
6151040453232
722521665555
oct5024076664
91663624512
10676363700
11317876071
1216a61a218
13aa184b0c
1465b8432c
153e5a40d5
hex28507db4

676363700 has 72 divisors (see below), whose sum is σ = 1596194712. Its totient is φ = 247726080.

The previous prime is 676363651. The next prime is 676363703. The reversal of 676363700 is 7363676.

676363700 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 9278116 + 667085584 = 3046^2 + 25828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676363703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57524 + ... + 68276.

It is an arithmetic number, because the mean of its divisors is an integer number (22169371).

Almost surely, 2676363700 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 676363700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798097356).

676363700 is an abundant number, since it is smaller than the sum of its proper divisors (919831012).

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

676363700 is a wasteful number, since it uses less digits than its factorization.

676363700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10821 (or 10814 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 38.

The square root of 676363700 is about 26006.9932902671. The cubic root of 676363700 is about 877.7956623084.

The spelling of 676363700 in words is "six hundred seventy-six million, three hundred sixty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 37 50 68 74 85 100 148 170 185 340 370 425 629 740 850 925 1258 1700 1850 2516 3145 3700 6290 10753 12580 15725 21506 31450 43012 53765 62900 107530 182801 215060 268825 365602 397861 537650 731204 795722 914005 1075300 1591444 1828010 1989305 3656020 3978610 4570025 6763637 7957220 9140050 9946525 13527274 18280100 19893050 27054548 33818185 39786100 67636370 135272740 169090925 338181850 676363700