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125975000 = 23555039
BaseRepresentation
bin1111000001000…
…11100111011000
322210001012012202
413200203213120
5224222200000
620300025332
73056525024
oct740434730
9283035182
10125975000
1165122978
1236232248
1320139728
1412a33384
15b0d5dd5
hex78239d8

125975000 has 48 divisors (see below), whose sum is σ = 295293600. Its totient is φ = 50380000.

The previous prime is 125974991. The next prime is 125975021. The reversal of 125975000 is 579521.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 22481 + ... + 27519.

It is an arithmetic number, because the mean of its divisors is an integer number (6151950).

Almost surely, 2125975000 is an apocalyptic number.

125975000 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 125975000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147646800).

125975000 is an abundant number, since it is smaller than the sum of its proper divisors (169318600).

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

125975000 is an frugal number, since it uses more digits than its factorization.

125975000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 125975000 is about 11223.8585165708. The cubic root of 125975000 is about 501.2966345709.

The spelling of 125975000 in words is "one hundred twenty-five million, nine hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 5039 6250 10078 12500 20156 25000 25195 40312 50390 100780 125975 201560 251950 503900 629875 1007800 1259750 2519500 3149375 5039000 6298750 12597500 15746875 25195000 31493750 62987500 125975000