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159359400 = 2336521093
BaseRepresentation
bin10010111111110…
…10000110101000
3102002212022000000
421133322012220
5311244000100
623451343000
73643350444
oct1137720650
9362768000
10159359400
1181a55092
1245451a60
1327028005
1417243824
15decc900
hex97fa1a8

159359400 has 168 divisors, whose sum is σ = 556020030. Its totient is φ = 42456960.

The previous prime is 159359381. The next prime is 159359423. The reversal of 159359400 is 4953951.

It can be written as a sum of positive squares in 3 ways, for example, as 152917956 + 6441444 = 12366^2 + 2538^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 145254 + ... + 146346.

Almost surely, 2159359400 is an apocalyptic number.

159359400 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 159359400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278010015).

159359400 is an abundant number, since it is smaller than the sum of its proper divisors (396660630).

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

159359400 is a wasteful number, since it uses less digits than its factorization.

159359400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 159359400 is about 12623.7633057658. The cubic root of 159359400 is about 542.1580309236.

The spelling of 159359400 in words is "one hundred fifty-nine million, three hundred fifty-nine thousand, four hundred".