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125788104 = 233213235843
BaseRepresentation
bin1110111111101…
…01111111001000
322202200200211200
413133311333020
5224200204404
620252024200
73055116111
oct737657710
9282620750
10125788104
1165005512
1236162060
13200a2640
14129c5208
15b09a839
hex77f5fc8

125788104 has 96 divisors (see below), whose sum is σ = 382898880. Its totient is φ = 37014912.

The previous prime is 125788093. The next prime is 125788129. The reversal of 125788104 is 401887521.

125788104 is a `hidden beast` number, since 1 + 2 + 578 + 81 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18607 + ... + 24449.

It is an arithmetic number, because the mean of its divisors is an integer number (3988530).

Almost surely, 2125788104 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 125788104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191449440).

125788104 is an abundant number, since it is smaller than the sum of its proper divisors (257110776).

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

125788104 is a wasteful number, since it uses less digits than its factorization.

125788104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 125788104 is about 11215.5295907059. The cubic root of 125788104 is about 501.0486046525.

The spelling of 125788104 in words is "one hundred twenty-five million, seven hundred eighty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 552 598 828 897 936 1196 1656 1794 2392 2691 3588 5382 5843 7176 10764 11686 17529 21528 23372 35058 46744 52587 70116 75959 105174 134389 140232 151918 210348 227877 268778 303836 403167 420696 455754 537556 607672 683631 806334 911508 1075112 1209501 1367262 1612668 1747057 1823016 2419002 2734524 3225336 3494114 4838004 5241171 5469048 6988228 9676008 10482342 13976456 15723513 20964684 31447026 41929368 62894052 125788104