Search a number
-
+
125731580 = 225134710289
BaseRepresentation
bin1110111111010…
…00001011111100
322202120211022012
413133220023330
5224141402310
620250510352
73054462242
oct737501374
9282524265
10125731580
1164a76aa7
12361353b8
13200829b0
14129ac792
15b088c05
hex77e82fc

125731580 has 48 divisors (see below), whose sum is σ = 290424960. Its totient is φ = 45431808.

The previous prime is 125731579. The next prime is 125731589. The reversal of 125731580 is 85137521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125731589) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7076 + ... + 17364.

It is an arithmetic number, because the mean of its divisors is an integer number (6050520).

Almost surely, 2125731580 is an apocalyptic number.

125731580 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 125731580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145212480).

125731580 is an abundant number, since it is smaller than the sum of its proper divisors (164693380).

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

125731580 is a wasteful number, since it uses less digits than its factorization.

125731580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358 (or 10356 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 125731580 is about 11213.0094087181. The cubic root of 125731580 is about 500.9735431970.

The spelling of 125731580 in words is "one hundred twenty-five million, seven hundred thirty-one thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 1222 2444 3055 6110 10289 12220 20578 41156 51445 102890 133757 205780 267514 483583 535028 668785 967166 1337570 1934332 2417915 2675140 4835830 6286579 9671660 12573158 25146316 31432895 62865790 125731580