Search a number
-
+
150160116 = 223171922039
BaseRepresentation
bin10001111001101…
…00001011110100
3101110112220221210
420330310023310
5301420110431
622522241420
73502224411
oct1074641364
9343486853
10150160116
1177841577
1242356270
1325156a52
1415d2b108
15d2b1d46
hex8f342f4

150160116 has 72 divisors (see below), whose sum is σ = 391728960. Its totient is φ = 44607744.

The previous prime is 150160093. The next prime is 150160117. The reversal of 150160116 is 611061051.

150160116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 150160092 and 150160101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150160117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72625 + ... + 74663.

It is an arithmetic number, because the mean of its divisors is an integer number (5440680).

Almost surely, 2150160116 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 150160116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195864480).

150160116 is an abundant number, since it is smaller than the sum of its proper divisors (241568844).

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

150160116 is a wasteful number, since it uses less digits than its factorization.

150160116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 150160116 is about 12253.9836787879. The cubic root of 150160116 is about 531.5182714071.

The spelling of 150160116 in words is "one hundred fifty million, one hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 361 646 722 969 1083 1292 1444 1938 2039 2166 3876 4078 4332 6117 6137 8156 12234 12274 18411 24468 24548 34663 36822 38741 69326 73644 77482 103989 116223 138652 154964 207978 232446 415956 464892 658597 736079 1317194 1472158 1975791 2208237 2634388 2944316 3951582 4416474 7903164 8832948 12513343 25026686 37540029 50053372 75080058 150160116