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159084864 = 2633432141
BaseRepresentation
bin10010111101101…
…11000101000000
3102002100100102000
421132313011000
5311211203424
623441424000
73641125161
oct1136670500
9362310360
10159084864
11818878a4
124533b000
1326c60073
14171b1768
15de763c9
hex97b7140

159084864 has 112 divisors (see below), whose sum is σ = 478779840. Its totient is φ = 51770880.

The previous prime is 159084851. The next prime is 159084869. The reversal of 159084864 is 468480951.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159084869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73234 + ... + 75374.

It is an arithmetic number, because the mean of its divisors is an integer number (4274820).

Almost surely, 2159084864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239389920).

159084864 is an abundant number, since it is smaller than the sum of its proper divisors (319694976).

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

159084864 is a wasteful number, since it uses less digits than its factorization.

159084864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 159084864 is about 12612.8848405113. The cubic root of 159084864 is about 541.8465181807.

The spelling of 159084864 in words is "one hundred fifty-nine million, eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 172 192 216 258 288 344 387 432 516 576 688 774 864 1032 1161 1376 1548 1728 2064 2141 2322 2752 3096 4128 4282 4644 6192 6423 8256 8564 9288 12384 12846 17128 18576 19269 24768 25692 34256 37152 38538 51384 57807 68512 74304 77076 92063 102768 115614 137024 154152 184126 205536 231228 276189 308304 368252 411072 462456 552378 616608 736504 828567 924912 1104756 1233216 1473008 1657134 1849824 2209512 2485701 2946016 3314268 3699648 4419024 4971402 5892032 6628536 8838048 9942804 13257072 17676096 19885608 26514144 39771216 53028288 79542432 159084864