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125426000 = 2453717231
BaseRepresentation
bin1110111100111…
…01100101010000
322202000022010102
413132131211100
5224102113000
620240151532
73052050320
oct736354520
9282008112
10125426000
1164888457
12360085a8
131cca688b
141292d280
15b0283d5
hex779d950

125426000 has 240 divisors, whose sum is σ = 380070912. Its totient is φ = 39168000.

The previous prime is 125425913. The next prime is 125426029. The reversal of 125426000 is 624521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4045985 + ... + 4046015.

Almost surely, 2125426000 is an apocalyptic number.

125426000 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 125426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190035456).

125426000 is an abundant number, since it is smaller than the sum of its proper divisors (254644912).

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

125426000 is a wasteful number, since it uses less digits than its factorization.

125426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 125426000 is about 11199.3749825604. The cubic root of 125426000 is about 500.5673559709.

The spelling of 125426000 in words is "one hundred twenty-five million, four hundred twenty-six thousand".