Search a number
-
+
125317000 = 23531131109
BaseRepresentation
bin1110111100000…
…10111110001000
322201210202121101
413132002332020
5224040121000
620233551144
73051114454
oct736027610
9281722541
10125317000
1164813576
1235b754b4
131cc69093
1412901664
15b005e6a
hex7782f88

125317000 has 64 divisors (see below), whose sum is σ = 296103600. Its totient is φ = 49638400.

The previous prime is 125316977. The next prime is 125317037. The reversal of 125317000 is 713521.

It can be written as a sum of positive squares in 8 ways, for example, as 26234884 + 99082116 = 5122^2 + 9954^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112446 + ... + 113554.

Almost surely, 2125317000 is an apocalyptic number.

125317000 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 125317000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148051800).

125317000 is an abundant number, since it is smaller than the sum of its proper divisors (170786600).

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

125317000 is a wasteful number, since it uses less digits than its factorization.

125317000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 125317000 is about 11194.5075818457. The cubic root of 125317000 is about 500.4223098750.

The spelling of 125317000 in words is "one hundred twenty-five million, three hundred seventeen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 904 1000 1109 1130 2218 2260 2825 4436 4520 5545 5650 8872 11090 11300 14125 22180 22600 27725 28250 44360 55450 56500 110900 113000 125317 138625 221800 250634 277250 501268 554500 626585 1002536 1109000 1253170 2506340 3132925 5012680 6265850 12531700 15664625 25063400 31329250 62658500 125317000