Search a number
-
+
125494200 = 2332521331173
BaseRepresentation
bin1110111101011…
…10001110111000
322202010202200100
413132232032320
5224111303300
620241435400
73052453206
oct736561670
9282122610
10125494200
1164924717
123603bb60
131cccb930
141294a076
15b03d700
hex77ae3b8

125494200 has 288 divisors, whose sum is σ = 471219840. Its totient is φ = 29721600.

The previous prime is 125494181. The next prime is 125494211. The reversal of 125494200 is 2494521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 725314 + ... + 725486.

It is an arithmetic number, because the mean of its divisors is an integer number (1636180).

Almost surely, 2125494200 is an apocalyptic number.

125494200 is a gapful number since it is divisible by the number (10) 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 125494200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235609920).

125494200 is an abundant number, since it is smaller than the sum of its proper divisors (345725640).

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

125494200 is a wasteful number, since it uses less digits than its factorization.

125494200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 125494200 is about 11202.4193815443. The cubic root of 125494200 is about 500.6580668494.

The spelling of 125494200 in words is "one hundred twenty-five million, four hundred ninety-four thousand, two hundred".