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125805060 = 22325897853
BaseRepresentation
bin1110111111110…
…10001000000100
322202201120002200
413133322020010
5224201230220
620252234500
73055216413
oct737721004
9282646080
10125805060
1165017227
123616ba30
13200aa284
14129cb47a
15b0a0890
hex77fa204

125805060 has 72 divisors (see below), whose sum is σ = 385945560. Its totient is φ = 33166848.

The previous prime is 125805019. The next prime is 125805079. The reversal of 125805060 is 60508521.

It can be written as a sum of positive squares in 4 ways, for example, as 3392964 + 122412096 = 1842^2 + 11064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12094 + ... + 19946.

It is an arithmetic number, because the mean of its divisors is an integer number (5360355).

Almost surely, 2125805060 is an apocalyptic number.

125805060 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 125805060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192972780).

125805060 is an abundant number, since it is smaller than the sum of its proper divisors (260140500).

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

125805060 is a wasteful number, since it uses less digits than its factorization.

125805060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7957 (or 7952 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 125805060 is about 11216.2854813882. The cubic root of 125805060 is about 501.0711171111.

The spelling of 125805060 in words is "one hundred twenty-five million, eight hundred five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 4005 5340 7853 8010 15706 16020 23559 31412 39265 47118 70677 78530 94236 117795 141354 157060 235590 282708 353385 471180 698917 706770 1397834 1413540 2096751 2795668 3494585 4193502 6290253 6989170 8387004 10483755 12580506 13978340 20967510 25161012 31451265 41935020 62902530 125805060