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125354240 = 2851129307
BaseRepresentation
bin1110111100011…
…00000100000000
322201212122200122
413132030010000
5224042313430
620234435412
73051331154
oct736140400
9281778618
10125354240
1164839550
1235b92b68
131cc8000b
1412911064
15b011ee5
hex778c100

125354240 has 144 divisors (see below), whose sum is σ = 339958080. Its totient is φ = 43868160.

The previous prime is 125354239. The next prime is 125354249. The reversal of 125354240 is 42453521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (125354249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408167 + ... + 408473.

It is an arithmetic number, because the mean of its divisors is an integer number (2360820).

Almost surely, 2125354240 is an apocalyptic number.

125354240 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 125354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169979040).

125354240 is an abundant number, since it is smaller than the sum of its proper divisors (214603840).

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

125354240 is a wasteful number, since it uses less digits than its factorization.

125354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 125354240 is about 11196.1707739745. The cubic root of 125354240 is about 500.4718745288.

The spelling of 125354240 in words is "one hundred twenty-five million, three hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 256 290 307 319 320 352 440 464 580 614 638 640 704 880 928 1160 1228 1276 1280 1408 1535 1595 1760 1856 2320 2456 2552 2816 3070 3190 3377 3520 3712 4640 4912 5104 6140 6380 6754 7040 7424 8903 9280 9824 10208 12280 12760 13508 14080 16885 17806 18560 19648 20416 24560 25520 27016 33770 35612 37120 39296 40832 44515 49120 51040 54032 67540 71224 78592 81664 89030 97933 98240 102080 108064 135080 142448 178060 195866 196480 204160 216128 270160 284896 356120 391732 392960 408320 432256 489665 540320 569792 712240 783464 864512 979330 1080640 1139584 1424480 1566928 1958660 2161280 2279168 2848960 3133856 3917320 4322560 5697920 6267712 7834640 11395840 12535424 15669280 25070848 31338560 62677120 125354240