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125832 = 23372107
BaseRepresentation
bin11110101110001000
320101121110
4132232020
513011312
62410320
71032600
oct365610
9211543
10125832
11865a3
12609a0
1345375
1433c00
152743c
hex1eb88

125832 has 48 divisors (see below), whose sum is σ = 369360. Its totient is φ = 35616.

The previous prime is 125821. The next prime is 125863. The reversal of 125832 is 238521.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 125799 and 125808.

It is an unprimeable number.

125832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1123 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (7695).

2125832 is an apocalyptic number.

125832 is a gapful number since it is divisible by the number (12) 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 125832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184680).

125832 is an abundant number, since it is smaller than the sum of its proper divisors (243528).

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

125832 is a wasteful number, since it uses less digits than its factorization.

125832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 125832 is about 354.7280648610. The cubic root of 125832 is about 50.1106881153.

The spelling of 125832 in words is "one hundred twenty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 107 147 168 196 214 294 321 392 428 588 642 749 856 1176 1284 1498 2247 2568 2996 4494 5243 5992 8988 10486 15729 17976 20972 31458 41944 62916 125832