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125741070 = 232571321181
BaseRepresentation
bin1110111111010…
…10100000001110
322202121022022200
413133222200032
5224142203240
620251022330
73054532020
oct737524016
9282538280
10125741070
1164a83144
123613a9a6
1320087100
14129b2010
15b08b930
hex77ea80e

125741070 has 144 divisors (see below), whose sum is σ = 404924832. Its totient is φ = 26507520.

The previous prime is 125741051. The next prime is 125741081. The reversal of 125741070 is 70147521.

125741070 is a `hidden beast` number, since 12 + 574 + 10 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105880 + ... + 107060.

It is an arithmetic number, because the mean of its divisors is an integer number (2811978).

Almost surely, 2125741070 is an apocalyptic number.

125741070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125741070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202462416).

125741070 is an abundant number, since it is smaller than the sum of its proper divisors (279183762).

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

125741070 is a wasteful number, since it uses less digits than its factorization.

125741070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 125741070 is about 11213.4325699136. The cubic root of 125741070 is about 500.9861470825.

Adding to 125741070 its reverse (70147521), we get a palindrome (195888591).

The spelling of 125741070 in words is "one hundred twenty-five million, seven hundred forty-one thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 169 182 195 210 234 273 315 338 390 455 507 546 585 630 819 845 910 1014 1170 1181 1183 1365 1521 1638 1690 2362 2366 2535 2730 3042 3543 3549 4095 5070 5905 5915 7086 7098 7605 8190 8267 10629 10647 11810 11830 15210 15353 16534 17715 17745 21258 21294 24801 30706 35430 35490 41335 46059 49602 53145 53235 74403 76765 82670 92118 106290 106470 107471 124005 138177 148806 153530 199589 214942 230295 248010 276354 322413 372015 399178 460590 537355 598767 644826 690885 744030 967239 997945 1074710 1197534 1381770 1397123 1612065 1796301 1934478 1995890 2794246 2993835 3224130 3592602 4191369 4836195 5987670 6985615 8382738 8981505 9672390 12574107 13971230 17963010 20956845 25148214 41913690 62870535 125741070