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159126240 = 25357133643
BaseRepresentation
bin10010111110000…
…01001011100000
3102002102110011110
421133001023200
5311214014430
623442343320
73641356620
oct1137011340
9362373143
10159126240
1181905999
124535ab40
1326c75b50
14171c2880
15de837b0
hex97c12e0

159126240 has 192 divisors, whose sum is σ = 617089536. Its totient is φ = 33564672.

The previous prime is 159126223. The next prime is 159126241. The reversal of 159126240 is 42621951.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 159126198 and 159126207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159126241) 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, 41859 + ... + 45501.

It is an arithmetic number, because the mean of its divisors is an integer number (3214008).

Almost surely, 2159126240 is an apocalyptic number.

159126240 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 159126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308544768).

159126240 is an abundant number, since it is smaller than the sum of its proper divisors (457963296).

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

159126240 is a wasteful number, since it uses less digits than its factorization.

159126240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 159126240 is about 12614.5249613293. The cubic root of 159126240 is about 541.8934899616.

The spelling of 159126240 in words is "one hundred fifty-nine million, one hundred twenty-six thousand, two hundred forty".