Search a number
-
+
125056500 = 22353263317
BaseRepresentation
bin1110111010000…
…11010111110100
322201022112021020
413131003113310
5224003302000
620224221140
73045651132
oct735032764
9281275236
10125056500
1164655888
1235a6a7b0
131cba763a
1412874752
15aea3ba0
hex77435f4

125056500 has 96 divisors (see below), whose sum is σ = 366702336. Its totient is φ = 33116800.

The previous prime is 125056487. The next prime is 125056507. The reversal of 125056500 is 5650521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125056507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394342 + ... + 394658.

It is an arithmetic number, because the mean of its divisors is an integer number (3819816).

Almost surely, 2125056500 is an apocalyptic number.

125056500 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 125056500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183351168).

125056500 is an abundant number, since it is smaller than the sum of its proper divisors (241645836).

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

125056500 is a wasteful number, since it uses less digits than its factorization.

125056500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 125056500 is about 11182.8663588545. The cubic root of 125056500 is about 500.0753219860.

The spelling of 125056500 in words is "one hundred twenty-five million, fifty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 263 300 317 375 500 526 634 750 789 951 1052 1268 1315 1500 1578 1585 1902 2630 3156 3170 3804 3945 4755 5260 6340 6575 7890 7925 9510 13150 15780 15850 19020 19725 23775 26300 31700 32875 39450 39625 47550 65750 78900 79250 83371 95100 98625 118875 131500 158500 166742 197250 237750 250113 333484 394500 416855 475500 500226 833710 1000452 1250565 1667420 2084275 2501130 4168550 5002260 6252825 8337100 10421375 12505650 20842750 25011300 31264125 41685500 62528250 125056500