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159117930 = 232515711261
BaseRepresentation
bin10010111101111…
…11001001101010
3102002102000202200
421132333021222
5311213233210
623442241030
73641323446
oct1136771152
9362360680
10159117930
11818aa724
1245356176
1326c7212a
14171bd826
15de810c0
hex97bf26a

159117930 has 48 divisors (see below), whose sum is σ = 416378664. Its totient is φ = 42157440.

The previous prime is 159117923. The next prime is 159117949. The reversal of 159117930 is 39711951.

It can be written as a sum of positive squares in 4 ways, for example, as 151216209 + 7901721 = 12297^2 + 2811^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8500 + ... + 19760.

Almost surely, 2159117930 is an apocalyptic number.

159117930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 159117930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208189332).

159117930 is an abundant number, since it is smaller than the sum of its proper divisors (257260734).

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

159117930 is a wasteful number, since it uses less digits than its factorization.

159117930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11431 (or 11428 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 36.

The square root of 159117930 is about 12614.1955748276. The cubic root of 159117930 is about 541.8840567525.

The spelling of 159117930 in words is "one hundred fifty-nine million, one hundred seventeen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 7065 11261 14130 22522 33783 56305 67566 101349 112610 168915 202698 337830 506745 1013490 1767977 3535954 5303931 8839885 10607862 15911793 17679770 26519655 31823586 53039310 79558965 159117930