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159916960 = 25571737227
BaseRepresentation
bin10011000100000…
…10001110100000
3102010220121211101
421202002032200
5311414320320
623511324144
73651162130
oct1142021640
9363817741
10159916960
11822a5a85
1245680654
1327191a28
141734aac0
15e08cc0a
hex98823a0

159916960 has 192 divisors, whose sum is σ = 471598848. Its totient is φ = 49987584.

The previous prime is 159916951. The next prime is 159916961. The reversal of 159916960 is 69619951.

It is a self number, because there is not a number n which added to its sum of digits gives 159916960.

It is not an unprimeable number, because it can be changed into a prime (159916961) 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, 704367 + ... + 704593.

It is an arithmetic number, because the mean of its divisors is an integer number (2456244).

Almost surely, 2159916960 is an apocalyptic number.

159916960 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 159916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235799424).

159916960 is an abundant number, since it is smaller than the sum of its proper divisors (311681888).

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

159916960 is a wasteful number, since it uses less digits than its factorization.

159916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 46.

The square root of 159916960 is about 12645.8277704546. The cubic root of 159916960 is about 542.7895882168.

The spelling of 159916960 in words is "one hundred fifty-nine million, nine hundred sixteen thousand, nine hundred sixty".