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159264 = 2532779
BaseRepresentation
bin100110111000100000
322002110200
4212320200
520044024
63225200
71232220
oct467040
9262420
10159264
11a9726
1278200
1357651
1442080
15322c9
hex26e20

159264 has 72 divisors (see below), whose sum is σ = 524160. Its totient is φ = 44928.

The previous prime is 159233. The next prime is 159287. The reversal of 159264 is 462951.

It is a tau number, because it is divible by the number of its divisors (72).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 159264.

It is an unprimeable number.

159264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1977 + ... + 2055.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2159264 is an apocalyptic number.

159264 is a gapful number since it is divisible by the number (14) 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 159264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

159264 is an abundant number, since it is smaller than the sum of its proper divisors (364896).

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

159264 is a wasteful number, since it uses less digits than its factorization.

159264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 91 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 159264 is about 399.0789395596. The cubic root of 159264 is about 54.2049822265.

The spelling of 159264 in words is "one hundred fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 79 84 96 112 126 144 158 168 224 237 252 288 316 336 474 504 553 632 672 711 948 1008 1106 1264 1422 1659 1896 2016 2212 2528 2844 3318 3792 4424 4977 5688 6636 7584 8848 9954 11376 13272 17696 19908 22752 26544 39816 53088 79632 159264