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125324304 = 24371967293
BaseRepresentation
bin1110111100001…
…00110000010000
322201211010121220
413132010300100
5224040334204
620234045040
73051144660
oct736046020
9281733556
10125324304
1164819006
1235b79780
131cc6c4c1
14129041a0
15b0081d9
hex7784c10

125324304 has 160 divisors (see below), whose sum is σ = 396641280. Its totient is φ = 33302016.

The previous prime is 125324299. The next prime is 125324327. The reversal of 125324304 is 403423521.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 427582 + ... + 427874.

It is an arithmetic number, because the mean of its divisors is an integer number (2479008).

Almost surely, 2125324304 is an apocalyptic number.

125324304 is a gapful number since it is divisible by the number (14) 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 125324304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198320640).

125324304 is an abundant number, since it is smaller than the sum of its proper divisors (271316976).

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

125324304 is a wasteful number, since it uses less digits than its factorization.

125324304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 125324304 is about 11194.8338085029. The cubic root of 125324304 is about 500.4320319226.

Adding to 125324304 its reverse (403423521), we get a palindrome (528747825).

It can be divided in two parts, 12532 and 4304, that added together give a triangular number (16836 = T183).

The spelling of 125324304 in words is "one hundred twenty-five million, three hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 67 76 84 112 114 133 134 152 168 201 228 266 268 293 304 336 399 402 456 469 532 536 586 798 804 879 912 938 1064 1072 1172 1273 1407 1596 1608 1758 1876 2051 2128 2344 2546 2814 3192 3216 3516 3752 3819 4102 4688 5092 5567 5628 6153 6384 7032 7504 7638 8204 8911 10184 11134 11256 12306 14064 15276 16408 16701 17822 19631 20368 22268 22512 24612 26733 30552 32816 33402 35644 38969 39262 44536 49224 53466 58893 61104 66804 71288 77938 78524 89072 98448 106932 116907 117786 133608 137417 142576 155876 157048 213864 233814 235572 267216 274834 311752 314096 372989 412251 427728 467628 471144 549668 623504 745978 824502 935256 942288 1099336 1118967 1491956 1649004 1870512 2198672 2237934 2610923 2983912 3298008 4475868 5221846 5967824 6596016 7832769 8951736 10443692 15665538 17903472 20887384 31331076 41774768 62662152 125324304