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207296120 = 23543191631
BaseRepresentation
bin11000101101100…
…01011001111000
3112110001201211002
430112301121320
5411031433440
632323024132
75064662603
oct1426613170
9473051732
10207296120
11a7016709
125950b048
1333c40235
141d76133a
15132eb115
hexc5b1678

207296120 has 64 divisors (see below), whose sum is σ = 480522240. Its totient is φ = 80438400.

The previous prime is 207296119. The next prime is 207296143. The reversal of 207296120 is 21692702.

207296120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328205 + ... + 328835.

It is an arithmetic number, because the mean of its divisors is an integer number (7508160).

Almost surely, 2207296120 is an apocalyptic number.

207296120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207296120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240261120).

207296120 is an abundant number, since it is smaller than the sum of its proper divisors (273226120).

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

207296120 is a wasteful number, since it uses less digits than its factorization.

207296120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 207296120 is about 14397.7817735928. The cubic root of 207296120 is about 591.8301116481.

The spelling of 207296120 in words is "two hundred seven million, two hundred ninety-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 191 215 344 382 430 631 764 860 955 1262 1528 1720 1910 2524 3155 3820 5048 6310 7640 8213 12620 16426 25240 27133 32852 41065 54266 65704 82130 108532 120521 135665 164260 217064 241042 271330 328520 482084 542660 602605 964168 1085320 1205210 2410420 4820840 5182403 10364806 20729612 25912015 41459224 51824030 103648060 207296120