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125270856 = 233214911677
BaseRepresentation
bin1110111011101…
…11101101001000
322201201102022100
413131313231020
5224032131411
620232553400
73050533104
oct735675510
9281642270
10125270856
1164791937
1235b52860
131cc51089
14128cc904
15aee7456
hex7777b48

125270856 has 48 divisors (see below), whose sum is σ = 341581500. Its totient is φ = 41473152.

The previous prime is 125270851. The next prime is 125270861. The reversal of 125270856 is 658072521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125270851) and next prime (125270861).

It can be written as a sum of positive squares in 2 ways, for example, as 125216100 + 54756 = 11190^2 + 234^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 125270856.

It is not an unprimeable number, because it can be changed into a prime (125270851) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4890 + ... + 16566.

Almost surely, 2125270856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125270856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170790750).

125270856 is an abundant number, since it is smaller than the sum of its proper divisors (216310644).

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

125270856 is a wasteful number, since it uses less digits than its factorization.

125270856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11838 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 125270856 is about 11192.4463813770. The cubic root of 125270856 is about 500.3608808008.

The spelling of 125270856 in words is "one hundred twenty-five million, two hundred seventy thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 5364 10728 11677 23354 35031 46708 70062 93416 105093 140124 210186 280248 420372 840744 1739873 3479746 5219619 6959492 10439238 13918984 15658857 20878476 31317714 41756952 62635428 125270856