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159960 = 23353143
BaseRepresentation
bin100111000011011000
322010102110
4213003120
520104320
63232320
71234233
oct470330
9263373
10159960
11aa1a9
12786a0
1357a68
144241a
15325e0
hex270d8

159960 has 64 divisors (see below), whose sum is σ = 506880. Its totient is φ = 40320.

The previous prime is 159937. The next prime is 159977. The reversal of 159960 is 69951.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

159960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3699 + ... + 3741.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2159960 is an apocalyptic number.

159960 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 159960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253440).

159960 is an abundant number, since it is smaller than the sum of its proper divisors (346920).

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

159960 is a wasteful number, since it uses less digits than its factorization.

159960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 159960 is about 399.9499968746. The cubic root of 159960 is about 54.2838279255.

Subtracting from 159960 its reverse (69951), we obtain a palindrome (90009).

The spelling of 159960 in words is "one hundred fifty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 43 60 62 86 93 120 124 129 155 172 186 215 248 258 310 344 372 430 465 516 620 645 744 860 930 1032 1240 1290 1333 1720 1860 2580 2666 3720 3999 5160 5332 6665 7998 10664 13330 15996 19995 26660 31992 39990 53320 79980 159960