Search a number
-
+
158808100 = 225211236277
BaseRepresentation
bin10010111011100…
…11100000100100
3102001211021202111
421131303200210
5311123324400
623431450404
73635563243
oct1135634044
9361737674
10158808100
1181708970
1245226a04
1326b940b9
141713c95a
15de1e3ba
hex9773824

158808100 has 72 divisors (see below), whose sum is σ = 392349888. Its totient is φ = 55228800.

The previous prime is 158808019. The next prime is 158808113. The reversal of 158808100 is 1808851.

It is a happy number.

It is a super-2 number, since 2×1588081002 = 50440025251220000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22162 + ... + 28438.

It is an arithmetic number, because the mean of its divisors is an integer number (5449304).

Almost surely, 2158808100 is an apocalyptic number.

158808100 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 158808100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196174944).

158808100 is an abundant number, since it is smaller than the sum of its proper divisors (233541788).

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

158808100 is a wasteful number, since it uses less digits than its factorization.

158808100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 31.

The square root of 158808100 is about 12601.9085856072. The cubic root of 158808100 is about 541.5321143769.

The spelling of 158808100 in words is "one hundred fifty-eight million, eight hundred eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6277 6325 12554 12650 25108 25300 31385 62770 69047 125540 138094 144371 156925 276188 288742 313850 345235 577484 627700 690470 721855 1380940 1443710 1588081 1726175 2887420 3176162 3452350 3609275 6352324 6904700 7218550 7940405 14437100 15880810 31761620 39702025 79404050 158808100