Search a number
-
+
125642304 = 2632331659
BaseRepresentation
bin1110111110100…
…10011001000000
322202102021211200
413133102121000
5224131023204
620244541200
73053641044
oct737223100
9282367750
10125642304
1164a15a17
12360b1800
1320051178
1412988024
15b06c539
hex77d2640

125642304 has 84 divisors (see below), whose sum is σ = 361767120. Its totient is φ = 41690880.

The previous prime is 125642299. The next prime is 125642339. The reversal of 125642304 is 403246521.

125642304 is a `hidden beast` number, since 12 + 5 + 642 + 3 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190327 + ... + 190985.

Almost surely, 2125642304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180883560).

125642304 is an abundant number, since it is smaller than the sum of its proper divisors (236124816).

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

125642304 is a wasteful number, since it uses less digits than its factorization.

125642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 125642304 is about 11209.0277901342. The cubic root of 125642304 is about 500.8549426463.

Adding to 125642304 its reverse (403246521), we get a palindrome (528888825).

The spelling of 125642304 in words is "one hundred twenty-five million, six hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 331 576 659 662 993 1318 1324 1977 1986 2636 2648 2979 3954 3972 5272 5296 5931 5958 7908 7944 10544 10592 11862 11916 15816 15888 21088 21184 23724 23832 31632 31776 42176 47448 47664 63264 63552 94896 95328 126528 189792 190656 218129 379584 436258 654387 872516 1308774 1745032 1963161 2617548 3490064 3926322 5235096 6980128 7852644 10470192 13960256 15705288 20940384 31410576 41880768 62821152 125642304