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159104000 = 2105311113
BaseRepresentation
bin10010111101110…
…11110000000000
3102002101022122202
421132323300000
5311212312000
623442052332
73641235026
oct1136736000
9362338582
10159104000
11818a0210
124534a0a8
1326c689a3
14171b8716
15de7bdd5
hex97bbc00

159104000 has 176 divisors, whose sum is σ = 436846176. Its totient is φ = 57344000.

The previous prime is 159103979. The next prime is 159104009. The reversal of 159104000 is 401951.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159104009) 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 15 ways as a sum of consecutive naturals, for example, 1407944 + ... + 1408056.

Almost surely, 2159104000 is an apocalyptic number.

159104000 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 159104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218423088).

159104000 is an abundant number, since it is smaller than the sum of its proper divisors (277742176).

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

159104000 is a wasteful number, since it uses less digits than its factorization.

159104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 159104000 is about 12613.6434070414. The cubic root of 159104000 is about 541.8682431875.

Adding to 159104000 its reverse (401951), we get a palindrome (159505951).

The spelling of 159104000 in words is "one hundred fifty-nine million, one hundred four thousand".