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125673088 = 271019721
BaseRepresentation
bin1110111110110…
…01111010000000
322202110212001211
413133121322000
5224133014323
620245335504
73054126562
oct737317200
9282425054
10125673088
1164a37062
1236107594
1320062198
1412995332
15b07670d
hex77d9e80

125673088 has 32 divisors (see below), whose sum is σ = 252869220. Its totient is φ = 62208000.

The previous prime is 125673043. The next prime is 125673109. The reversal of 125673088 is 880376521.

It can be written as a sum of positive squares in 2 ways, for example, as 125619264 + 53824 = 11208^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 125673088.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8068 + ... + 17788.

Almost surely, 2125673088 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 125673088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126434610).

125673088 is an abundant number, since it is smaller than the sum of its proper divisors (127196132).

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

125673088 is an equidigital number, since it uses as much as digits as its factorization.

125673088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9836 (or 9824 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 125673088 is about 11210.4008848926. The cubic root of 125673088 is about 500.8958446329.

The spelling of 125673088 in words is "one hundred twenty-five million, six hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 9721 12928 19442 38884 77768 155536 311072 622144 981821 1244288 1963642 3927284 7854568 15709136 31418272 62836544 125673088