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125436740 = 225111361719
BaseRepresentation
bin1110111101000…
…00001101000100
322202000211212012
413132200031010
5224102433430
620240313352
73052123532
oct736401504
9282024765
10125436740
1164895530
1236012858
131ccab730
1412933152
15b02b695
hex77a0344

125436740 has 96 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 41356800.

The previous prime is 125436737. The next prime is 125436763. The reversal of 125436740 is 47634521.

It is a junction number, because it is equal to n+sod(n) for n = 125436697 and 125436706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174101 + ... + 174819.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2125436740 is an apocalyptic number.

125436740 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 125436740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

125436740 is an abundant number, since it is smaller than the sum of its proper divisors (189543100).

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

125436740 is a wasteful number, since it uses less digits than its factorization.

125436740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 125436740 is about 11199.8544633401. The cubic root of 125436740 is about 500.5816431202.

The spelling of 125436740 in words is "one hundred twenty-five million, four hundred thirty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 61 65 110 122 130 143 220 244 260 286 305 572 610 671 715 719 793 1220 1342 1430 1438 1586 2684 2860 2876 3172 3355 3595 3965 6710 7190 7909 7930 8723 9347 13420 14380 15818 15860 17446 18694 31636 34892 37388 39545 43615 43859 46735 79090 87230 87718 93470 102817 158180 174460 175436 186940 205634 219295 411268 438590 482449 514085 570167 877180 964898 1028170 1140334 1929796 2056340 2280668 2412245 2850835 4824490 5701670 6271837 9648980 11403340 12543674 25087348 31359185 62718370 125436740