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125339220 = 223253112239
BaseRepresentation
bin1110111100010…
…00011001010100
322201211220002100
413132020121110
5224041323340
620234242100
73051236316
oct736103124
9281756070
10125339220
1164829236
1235b86330
131cc76226
14129097b6
15b00c830
hex7788654

125339220 has 72 divisors (see below), whose sum is σ = 381588480. Its totient is φ = 33301440.

The previous prime is 125339191. The next prime is 125339233. The reversal of 125339220 is 22933521.

125339220 is a `hidden beast` number, since 1 + 253 + 392 + 20 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 54861 + ... + 57099.

It is an arithmetic number, because the mean of its divisors is an integer number (5299840).

Almost surely, 2125339220 is an apocalyptic number.

125339220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 11195×11196.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125339220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190794240).

125339220 is an abundant number, since it is smaller than the sum of its proper divisors (256249260).

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

125339220 is a wasteful number, since it uses less digits than its factorization.

125339220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 125339220 is about 11195.4999888348. The cubic root of 125339220 is about 500.4518848105.

The spelling of 125339220 in words is "one hundred twenty-five million, three hundred thirty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311 622 933 1244 1555 1866 2239 2799 3110 3732 4478 4665 5598 6220 6717 8956 9330 11195 11196 13434 13995 18660 20151 22390 26868 27990 33585 40302 44780 55980 67170 80604 100755 134340 201510 403020 696329 1392658 2088987 2785316 3481645 4177974 6266961 6963290 8355948 10444935 12533922 13926580 20889870 25067844 31334805 41779740 62669610 125339220