Search a number
-
+
125436060 = 22335673467
BaseRepresentation
bin1110111101000…
…00000010011100
322202000210221000
413132200002130
5224102423220
620240310300
73052121541
oct736400234
9282023830
10125436060
1164894a72
1236012390
131ccab329
1412932bc8
15b02b390
hex77a009c

125436060 has 96 divisors (see below), whose sum is σ = 396184320. Its totient is φ = 32940864.

The previous prime is 125436029. The next prime is 125436061. The reversal of 125436060 is 60634521.

125436060 is a `hidden beast` number, since 1 + 2 + 54 + 3 + 606 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125436061) 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, 34447 + ... + 37913.

It is an arithmetic number, because the mean of its divisors is an integer number (4126920).

Almost surely, 2125436060 is an apocalyptic number.

125436060 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 125436060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198092160).

125436060 is an abundant number, since it is smaller than the sum of its proper divisors (270748260).

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

125436060 is a wasteful number, since it uses less digits than its factorization.

125436060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 125436060 is about 11199.8241057617. The cubic root of 125436060 is about 500.5807385576.

The spelling of 125436060 in words is "one hundred twenty-five million, four hundred thirty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3467 3618 4020 6030 6934 7236 9045 10401 12060 13868 17335 18090 20802 31203 34670 36180 41604 52005 62406 69340 93609 104010 124812 156015 187218 208020 232289 312030 374436 464578 468045 624060 696867 929156 936090 1161445 1393734 1872180 2090601 2322890 2787468 3484335 4181202 4645780 6271803 6968670 8362404 10453005 12543606 13937340 20906010 25087212 31359015 41812020 62718030 125436060