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125971200 = 283952
BaseRepresentation
bin1111000001000…
…10101100000000
322210001000000000
413200202230000
5224222034300
620300000000
73056510655
oct740425400
9283030000
10125971200
1165120033
1236230000
1320137a94
1412a31c2c
15b0d4c00
hex7822b00

125971200 has 270 divisors, whose sum is σ = 467689684. Its totient is φ = 33592320.

The previous prime is 125971193. The next prime is 125971211. The reversal of 125971200 is 2179521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 25194238 + ... + 25194242.

Almost surely, 2125971200 is an apocalyptic number.

125971200 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 125971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233844842).

125971200 is an abundant number, since it is smaller than the sum of its proper divisors (341718484).

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

125971200 is an frugal number, since it uses more digits than its factorization.

125971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 125971200 is about 11223.6892330463. The cubic root of 125971200 is about 501.2915940302.

Multiplying 125971200 by its sum of digits (27), we get a square (3401222400 = 583202).

125971200 divided by its sum of digits (27) gives a square (4665600 = 21602).

The spelling of 125971200 in words is "one hundred twenty-five million, nine hundred seventy-one thousand, two hundred".