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125314260 = 223553157251
BaseRepresentation
bin1110111100000…
…10010011010100
322201210121211220
413132002103110
5224040024020
620233530340
73051103461
oct736022324
9281717756
10125314260
1164811505
1235b739b0
131cc67a66
1412900668
15b005240
hex77824d4

125314260 has 96 divisors (see below), whose sum is σ = 361210752. Its totient is φ = 32448000.

The previous prime is 125314243. The next prime is 125314297. The reversal of 125314260 is 62413521.

It is a self number, because there is not a number n which added to its sum of digits gives 125314260.

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 31 ways as a sum of consecutive naturals, for example, 499135 + ... + 499385.

It is an arithmetic number, because the mean of its divisors is an integer number (3762612).

Almost surely, 2125314260 is an apocalyptic number.

125314260 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 125314260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180605376).

125314260 is an abundant number, since it is smaller than the sum of its proper divisors (235896492).

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

125314260 is a wasteful number, since it uses less digits than its factorization.

125314260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 125314260 is about 11194.3851997329. The cubic root of 125314260 is about 500.4186626786.

Adding to 125314260 its reverse (62413521), we get a palindrome (187727781).

The spelling of 125314260 in words is "one hundred twenty-five million, three hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 157 159 212 251 265 314 318 471 502 530 628 636 753 785 795 942 1004 1060 1255 1506 1570 1590 1884 2355 2510 3012 3140 3180 3765 4710 5020 7530 8321 9420 13303 15060 16642 24963 26606 33284 39407 39909 41605 49926 53212 66515 78814 79818 83210 99852 118221 124815 133030 157628 159636 166420 197035 199545 236442 249630 266060 394070 399090 472884 499260 591105 788140 798180 1182210 2088571 2364420 4177142 6265713 8354284 10442855 12531426 20885710 25062852 31328565 41771420 62657130 125314260