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125270816 = 2511232353
BaseRepresentation
bin1110111011101…
…11101100100000
322201201102020212
413131313230200
5224032131231
620232553252
73050533016
oct735675440
9281642225
10125270816
1164791900
1235b52828
131cc51058
14128cc8b6
15aee742b
hex7777b20

125270816 has 36 divisors (see below), whose sum is σ = 271094166. Its totient is φ = 56939520.

The previous prime is 125270813. The next prime is 125270833. The reversal of 125270816 is 618072521.

It can be written as a sum of positive squares in only one way, i.e., 84566416 + 40704400 = 9196^2 + 6380^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (125270813) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12305 + ... + 20048.

Almost surely, 2125270816 is an apocalyptic number.

125270816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125270816 is an abundant number, since it is smaller than the sum of its proper divisors (145823350).

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

125270816 is a wasteful number, since it uses less digits than its factorization.

125270816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32385 (or 32366 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 125270816 is about 11192.4445944575. Note that the first 3 decimals coincide. The cubic root of 125270816 is about 500.3608275443.

The spelling of 125270816 in words is "one hundred twenty-five million, two hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 32353 64706 129412 258824 355883 517648 711766 1035296 1423532 2847064 3914713 5694128 7829426 11388256 15658852 31317704 62635408 125270816