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125432340 = 223511238263
BaseRepresentation
bin1110111100111…
…11001000010100
322202000121211020
413132133020110
5224102313330
620240241140
73052104645
oct736371024
9282017736
10125432340
11648921a0
12360101b0
131cca9727
14129316cc
15b02a210
hex779f214

125432340 has 96 divisors (see below), whose sum is σ = 399845376. Its totient is φ = 29082240.

The previous prime is 125432311. The next prime is 125432347. The reversal of 125432340 is 43234521.

It is a super-3 number, since 3×1254323403 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125432340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125432347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11049 + ... + 19311.

It is an arithmetic number, because the mean of its divisors is an integer number (4165056).

Almost surely, 2125432340 is an apocalyptic number.

125432340 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 125432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199922688).

125432340 is an abundant number, since it is smaller than the sum of its proper divisors (274413036).

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

125432340 is a wasteful number, since it uses less digits than its factorization.

125432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8309 (or 8307 counting only the distinct ones).

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

The square root of 125432340 is about 11199.6580304936. The cubic root of 125432340 is about 500.5757900105.

Adding to 125432340 its reverse (43234521), we get a palindrome (168666861).

The spelling of 125432340 in words is "one hundred twenty-five million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 8263 15180 16526 24789 33052 41315 49578 82630 90893 99156 123945 165260 181786 190049 247890 272679 363572 380098 454465 495780 545358 570147 760196 908930 950245 1090716 1140294 1363395 1817860 1900490 2090539 2280588 2726790 2850735 3800980 4181078 5453580 5701470 6271617 8362156 10452695 11402940 12543234 20905390 25086468 31358085 41810780 62716170 125432340