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125232768 = 2732108709
BaseRepresentation
bin1110111011011…
…10011010000000
322201122111001200
413131232122000
5224024422033
620232101200
73050314053
oct735563200
9281574050
10125232768
1164766261
1235b34800
131cc3993b
14128bca9a
15aedb013
hex776e680

125232768 has 48 divisors (see below), whose sum is σ = 360373650. Its totient is φ = 41743872.

The previous prime is 125232763. The next prime is 125232773. The reversal of 125232768 is 867232521.

It is an interprime number because it is at equal distance from previous prime (125232763) and next prime (125232773).

It can be written as a sum of positive squares in only one way, i.e., 107993664 + 17239104 = 10392^2 + 4152^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (125232763) 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, 53203 + ... + 55506.

Almost surely, 2125232768 is an apocalyptic number.

125232768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125232768 is an abundant number, since it is smaller than the sum of its proper divisors (235140882).

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

125232768 is a wasteful number, since it uses less digits than its factorization.

125232768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108729 (or 108714 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 125232768 is about 11190.7447473347. The cubic root of 125232768 is about 500.3101648890.

The spelling of 125232768 in words is "one hundred twenty-five million, two hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 108709 217418 326127 434836 652254 869672 978381 1304508 1739344 1956762 2609016 3478688 3913524 5218032 6957376 7827048 10436064 13914752 15654096 20872128 31308192 41744256 62616384 125232768