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125420760 = 233251372543
BaseRepresentation
bin1110111100111…
…00010011011000
322202000000221100
413132130103120
5224101431020
620240111400
73052026123
oct736342330
9282000840
10125420760
1164884523
1236005560
131cca438a
141292b3ba
15b026a90
hex779c4d8

125420760 has 96 divisors (see below), whose sum is σ = 410754240. Its totient is φ = 33188352.

The previous prime is 125420753. The next prime is 125420777. The reversal of 125420760 is 67024521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48049 + ... + 50591.

It is an arithmetic number, because the mean of its divisors is an integer number (4278690).

Almost surely, 2125420760 is an apocalyptic number.

125420760 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 125420760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205377120).

125420760 is an abundant number, since it is smaller than the sum of its proper divisors (285333480).

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

125420760 is a wasteful number, since it uses less digits than its factorization.

125420760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 125420760 is about 11199.1410384904. The cubic root of 125420760 is about 500.5603850359.

The spelling of 125420760 in words is "one hundred twenty-five million, four hundred twenty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 137 180 274 360 411 548 685 822 1096 1233 1370 1644 2055 2466 2543 2740 3288 4110 4932 5086 5480 6165 7629 8220 9864 10172 12330 12715 15258 16440 20344 22887 24660 25430 30516 38145 45774 49320 50860 61032 76290 91548 101720 114435 152580 183096 228870 305160 348391 457740 696782 915480 1045173 1393564 1741955 2090346 2787128 3135519 3483910 4180692 5225865 6271038 6967820 8361384 10451730 12542076 13935640 15677595 20903460 25084152 31355190 41806920 62710380 125420760