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159169920 = 2735713911
BaseRepresentation
bin10010111110010…
…11110110000000
3102002111200002020
421133023312000
5311221414140
623443321440
73641631150
oct1137136600
9362450066
10159169920
1181935798
1245380280
1326c8c9b0
14171d4760
15de916d0
hex97cbd80

159169920 has 256 divisors, whose sum is σ = 625121280. Its totient is φ = 33546240.

The previous prime is 159169891. The next prime is 159169939. The reversal of 159169920 is 29961951.

It is a happy number.

159169920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174265 + ... + 175175.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2159169920 is an apocalyptic number.

159169920 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 159169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312560640).

159169920 is an abundant number, since it is smaller than the sum of its proper divisors (465951360).

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

159169920 is a wasteful number, since it uses less digits than its factorization.

159169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 42.

The square root of 159169920 is about 12616.2561800242. The cubic root of 159169920 is about 541.9430685062.

The spelling of 159169920 in words is "one hundred fifty-nine million, one hundred sixty-nine thousand, nine hundred twenty".