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18157050 = 23252157257
BaseRepresentation
bin100010101000…
…0110111111010
31021011110210100
41011100313322
514122011200
61445100230
7310222002
oct105206772
937143710
1018157050
11a28172a
1260b7676
1339b9622
1425a9002
1518d9d00
hex1150dfa

18157050 has 72 divisors (see below), whose sum is σ = 49283676. Its totient is φ = 4792320.

The previous prime is 18157039. The next prime is 18157057. The reversal of 18157050 is 5075181.

It can be written as a sum of positive squares in 6 ways, for example, as 10556001 + 7601049 = 3249^2 + 2757^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18157057) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 70522 + ... + 70778.

Almost surely, 218157050 is an apocalyptic number.

18157050 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 18157050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24641838).

18157050 is an abundant number, since it is smaller than the sum of its proper divisors (31126626).

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

18157050 is a wasteful number, since it uses less digits than its factorization.

18157050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 18157050 is about 4261.1090105746. The cubic root of 18157050 is about 262.8341323306.

The spelling of 18157050 in words is "eighteen million, one hundred fifty-seven thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 157 225 257 314 450 471 514 771 785 942 1285 1413 1542 1570 2313 2355 2570 2826 3855 3925 4626 4710 6425 7065 7710 7850 11565 11775 12850 14130 19275 23130 23550 35325 38550 40349 57825 70650 80698 115650 121047 201745 242094 363141 403490 605235 726282 1008725 1210470 1815705 2017450 3026175 3631410 6052350 9078525 18157050