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159130440 = 23335723197
BaseRepresentation
bin10010111110000…
…10001101001000
3102002102122221000
421133002031020
5311214133230
623442415000
73641405100
oct1137021510
9362378830
10159130440
1181909067
1245361460
1326c77a31
14171c4200
15de84b60
hex97c2348

159130440 has 384 divisors, whose sum is σ = 643507200. Its totient is φ = 34836480.

The previous prime is 159130423. The next prime is 159130441. The reversal of 159130440 is 44031951.

159130440 is a `hidden beast` number, since 1 + 591 + 30 + 4 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (159130441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1640472 + ... + 1640568.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 2159130440 is an apocalyptic number.

159130440 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 159130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321753600).

159130440 is an abundant number, since it is smaller than the sum of its proper divisors (484376760).

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

159130440 is a wasteful number, since it uses less digits than its factorization.

159130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 159130440 is about 12614.6914349896. The cubic root of 159130440 is about 541.8982575236.

The spelling of 159130440 in words is "one hundred fifty-nine million, one hundred thirty thousand, four hundred forty".