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125312440 = 235112171523
BaseRepresentation
bin1110111100000…
…01110110111000
322201210112100111
413132001312320
5224034444230
620233514104
73051065251
oct736016670
9281715314
10125312440
1164810100
1235b72934
131cc66c96
14128ddb28
15b00492a
hex7781db8

125312440 has 96 divisors (see below), whose sum is σ = 328361040. Its totient is φ = 42859520.

The previous prime is 125312431. The next prime is 125312459. The reversal of 125312440 is 44213521.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 81519 + ... + 83041.

Almost surely, 2125312440 is an apocalyptic number.

125312440 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 125312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164180520).

125312440 is an abundant number, since it is smaller than the sum of its proper divisors (203048600).

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

125312440 is a wasteful number, since it uses less digits than its factorization.

125312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 125312440 is about 11194.3039086850. The cubic root of 125312440 is about 500.4162400589.

Adding to 125312440 its reverse (44213521), we get a palindrome (169525961).

The spelling of 125312440 in words is "one hundred twenty-five million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 242 340 374 440 484 605 680 748 935 968 1210 1496 1523 1870 2057 2420 3046 3740 4114 4840 6092 7480 7615 8228 10285 12184 15230 16456 16753 20570 25891 30460 33506 41140 51782 60920 67012 82280 83765 103564 129455 134024 167530 184283 207128 258910 284801 335060 368566 517820 569602 670120 737132 921415 1035640 1139204 1424005 1474264 1842830 2278408 2848010 3132811 3685660 5696020 6265622 7371320 11392040 12531244 15664055 25062488 31328110 62656220 125312440