Search a number
-
+
125962830 = 2335729521
BaseRepresentation
bin1111000001000…
…00101001001110
322210000120112000
413200200221032
5224221302310
620255453130
73056444400
oct740405116
9283016460
10125962830
1165114814
12362271a6
1320134026
1412a2cb70
15b0d24c0
hex7820a4e

125962830 has 96 divisors (see below), whose sum is σ = 390782880. Its totient is φ = 28788480.

The previous prime is 125962813. The next prime is 125962831. The reversal of 125962830 is 38269521.

125962830 is a `hidden beast` number, since 1 + 25 + 9 + 628 + 3 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125962831) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8470 + ... + 17990.

It is an arithmetic number, because the mean of its divisors is an integer number (4070655).

Almost surely, 2125962830 is an apocalyptic number.

125962830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125962830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195391440).

125962830 is an abundant number, since it is smaller than the sum of its proper divisors (264820050).

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

125962830 is a wasteful number, since it uses less digits than its factorization.

125962830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9551 (or 9538 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 125962830 is about 11223.3163548035. The cubic root of 125962830 is about 501.2804912184.

The spelling of 125962830 in words is "one hundred twenty-five million, nine hundred sixty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 9521 13230 19042 28563 47605 57126 66647 85689 95210 133294 142815 171378 199941 257067 285630 333235 399882 428445 466529 514134 599823 666470 856890 933058 999705 1199646 1285335 1399587 1799469 1999410 2332645 2570670 2799174 2999115 3598938 4198761 4665290 5998230 6997935 8397522 8997345 12596283 13995870 17994690 20993805 25192566 41987610 62981415 125962830