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159240330 = 2355193449
BaseRepresentation
bin10010111110111…
…01000010001010
3102002122020200000
421133131002022
5311231142310
623445023430
73642343344
oct1137350212
9362566600
10159240330
1181983687
12453b4b76
1326cb5a62
1417212294
15dea74c0
hex97dd08a

159240330 has 96 divisors (see below), whose sum is σ = 452088000. Its totient is φ = 40217472.

The previous prime is 159240299. The next prime is 159240331. The reversal of 159240330 is 33042951.

159240330 is a `hidden beast` number, since 1 + 592 + 40 + 3 + 30 = 666.

159240330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 159240294 and 159240303.

It is not an unprimeable number, because it can be changed into a prime (159240331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44446 + ... + 47894.

It is an arithmetic number, because the mean of its divisors is an integer number (4709250).

Almost surely, 2159240330 is an apocalyptic number.

159240330 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 159240330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226044000).

159240330 is an abundant number, since it is smaller than the sum of its proper divisors (292847670).

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

159240330 is a wasteful number, since it uses less digits than its factorization.

159240330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 159240330 is about 12619.0463189577. The cubic root of 159240330 is about 542.0229675774.

The spelling of 159240330 in words is "one hundred fifty-nine million, two hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 243 270 285 342 405 486 513 570 810 855 1026 1215 1539 1710 2430 2565 3078 3449 4617 5130 6898 7695 9234 10347 15390 17245 20694 23085 31041 34490 46170 51735 62082 65531 93123 103470 131062 155205 186246 196593 279369 310410 327655 393186 465615 558738 589779 655310 838107 931230 982965 1179558 1396845 1676214 1769337 1965930 2793690 2948895 3538674 4190535 5308011 5897790 8381070 8846685 10616022 15924033 17693370 26540055 31848066 53080110 79620165 159240330