Search a number
-
+
159545520 = 24325713121
BaseRepresentation
bin10011000001001…
…11100010110000
3102010012202022100
421200213202300
5311320424040
623455340400
73645054201
oct1140474260
9363182270
10159545520
1182071a02
1245521700
1327091944
14172915a8
15e017b30
hex98278b0

159545520 has 120 divisors (see below), whose sum is σ = 543527712. Its totient is φ = 41932800.

The previous prime is 159545509. The next prime is 159545521. The reversal of 159545520 is 25545951.

159545520 is a `hidden beast` number, since 1 + 5 + 95 + 45 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (159545521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49560 + ... + 52680.

Almost surely, 2159545520 is an apocalyptic number.

159545520 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 159545520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271763856).

159545520 is an abundant number, since it is smaller than the sum of its proper divisors (383982192).

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

159545520 is a wasteful number, since it uses less digits than its factorization.

159545520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 159545520 is about 12631.1329658111. The cubic root of 159545520 is about 542.3690156420.

The spelling of 159545520 in words is "one hundred fifty-nine million, five hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 142 144 180 213 240 284 355 360 426 568 639 710 720 852 1065 1136 1278 1420 1704 2130 2556 2840 3121 3195 3408 4260 5112 5680 6242 6390 8520 9363 10224 12484 12780 15605 17040 18726 24968 25560 28089 31210 37452 46815 49936 51120 56178 62420 74904 93630 112356 124840 140445 149808 187260 221591 224712 249680 280890 374520 443182 449424 561780 664773 749040 886364 1107955 1123560 1329546 1772728 1994319 2215910 2247120 2659092 3323865 3545456 3988638 4431820 5318184 6647730 7977276 8863640 9971595 10636368 13295460 15954552 17727280 19943190 26590920 31909104 39886380 53181840 79772760 159545520