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125818380 = 223351912263
BaseRepresentation
bin1110111111111…
…01011000001100
322202202020101000
413133331120030
5224202142010
620252420300
73055303302
oct737753014
9282666330
10125818380
1165026236
1236177690
13200b335c
14129d2272
15b0a47c0
hex77fd60c

125818380 has 96 divisors (see below), whose sum is σ = 412070400. Its totient is φ = 31783104.

The previous prime is 125818379. The next prime is 125818393. The reversal of 125818380 is 83818521.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4129 + ... + 16391.

It is an arithmetic number, because the mean of its divisors is an integer number (4292400).

Almost surely, 2125818380 is an apocalyptic number.

125818380 is a gapful number since it is divisible by the number (10) 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 125818380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206035200).

125818380 is an abundant number, since it is smaller than the sum of its proper divisors (286252020).

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

125818380 is a wasteful number, since it uses less digits than its factorization.

125818380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12300 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 125818380 is about 11216.8792451377. The cubic root of 125818380 is about 501.0888006387.

The spelling of 125818380 in words is "one hundred twenty-five million, eight hundred eighteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 12263 24526 36789 49052 61315 73578 110367 122630 147156 183945 220734 232997 245260 331101 367890 441468 465994 551835 662202 698991 735780 931988 1103670 1164985 1324404 1397982 1655505 2096973 2207340 2329970 2795964 3311010 3494955 4193946 4659940 6290919 6622020 6989910 8387892 10484865 12581838 13979820 20969730 25163676 31454595 41939460 62909190 125818380