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125217540 = 223257214197
BaseRepresentation
bin1110111011010…
…10101100000100
322201121201011200
413131222230010
5224023430130
620231502500
73050221500
oct735525404
9281551150
10125217540
1164755878
1235b27a30
131cc32a26
14128b7300
15aed6760
hex776ab04

125217540 has 108 divisors (see below), whose sum is σ = 441870156. Its totient is φ = 28619136.

The previous prime is 125217539. The next prime is 125217551. The reversal of 125217540 is 45712521.

It can be written as a sum of positive squares in 2 ways, for example, as 94945536 + 30272004 = 9744^2 + 5502^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1722 + ... + 15918.

Almost surely, 2125217540 is an apocalyptic number.

125217540 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 125217540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220935078).

125217540 is an abundant number, since it is smaller than the sum of its proper divisors (316652616).

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

125217540 is a wasteful number, since it uses less digits than its factorization.

125217540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14226 (or 14214 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 125217540 is about 11190.0643429786. The cubic root of 125217540 is about 500.2898852340.

The spelling of 125217540 in words is "one hundred twenty-five million, two hundred seventeen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 14197 28394 42591 56788 70985 85182 99379 127773 141970 170364 198758 212955 255546 283940 298137 397516 425910 496895 511092 596274 638865 695653 851820 894411 993790 1192548 1277730 1391306 1490685 1788822 1987580 2086959 2555460 2782612 2981370 3478265 3577644 4173918 4472055 5962740 6260877 6956530 8347836 8944110 10434795 12521754 13913060 17888220 20869590 25043508 31304385 41739180 62608770 125217540