Search a number
-
+
125876300 = 2252112101103
BaseRepresentation
bin1111000000010…
…11100001001100
322202212011211012
413200023201030
5224211020200
620253544352
73055634204
oct740134114
9282764735
10125876300
1165065800
12361a50b8
1320103824
1412a09404
15b0b6a35
hex780b84c

125876300 has 108 divisors (see below), whose sum is σ = 306157488. Its totient is φ = 44880000.

The previous prime is 125876299. The next prime is 125876339. The reversal of 125876300 is 3678521.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1222049 + ... + 1222151.

Almost surely, 2125876300 is an apocalyptic number.

125876300 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 125876300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153078744).

125876300 is an abundant number, since it is smaller than the sum of its proper divisors (180281188).

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

125876300 is a wasteful number, since it uses less digits than its factorization.

125876300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 125876300 is about 11219.4607713562. The cubic root of 125876300 is about 501.1656802671.

The spelling of 125876300 in words is "one hundred twenty-five million, eight hundred seventy-six thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 103 110 121 202 206 220 242 275 404 412 484 505 515 550 605 1010 1030 1100 1111 1133 1210 2020 2060 2222 2266 2420 2525 2575 3025 4444 4532 5050 5150 5555 5665 6050 10100 10300 10403 11110 11330 12100 12221 12463 20806 22220 22660 24442 24926 27775 28325 41612 48884 49852 52015 55550 56650 61105 62315 104030 111100 113300 114433 122210 124630 208060 228866 244420 249260 260075 305525 311575 457732 520150 572165 611050 623150 1040300 1144330 1222100 1246300 1258763 2288660 2517526 2860825 5035052 5721650 6293815 11443300 12587630 25175260 31469075 62938150 125876300