Search a number
-
+
156827268 = 2232132149173
BaseRepresentation
bin10010101100011…
…11111010000100
3101221002122120100
421112033322010
5310121433033
623321204100
73613003233
oct1126177204
9357078510
10156827268
1180585714
1244630630
132664c600
1416b84b1a
15db7c513
hex958fe84

156827268 has 108 divisors (see below), whose sum is σ = 434643300. Its totient is φ = 47653632.

The previous prime is 156827267. The next prime is 156827291. The reversal of 156827268 is 862728651.

156827268 is a `hidden beast` number, since 1 + 568 + 27 + 2 + 68 = 666.

156827268 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 20358144 + 136469124 = 4512^2 + 11682^2 .

It is not an unprimeable number, because it can be changed into a prime (156827267) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 906430 + ... + 906602.

It is an arithmetic number, because the mean of its divisors is an integer number (4024475).

Almost surely, 2156827268 is an apocalyptic number.

156827268 is a gapful number since it is divisible by the number (18) 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 156827268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217321650).

156827268 is an abundant number, since it is smaller than the sum of its proper divisors (277816032).

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

156827268 is a wasteful number, since it uses less digits than its factorization.

156827268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 156827268 is about 12523.0694320522. The cubic root of 156827268 is about 539.2711566331.

The spelling of 156827268 in words is "one hundred fifty-six million, eight hundred twenty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 149 156 169 173 234 298 338 346 447 468 507 519 596 676 692 894 1014 1038 1341 1521 1557 1788 1937 2028 2076 2249 2682 3042 3114 3874 4498 5364 5811 6084 6228 6747 7748 8996 11622 13494 17433 20241 23244 25181 25777 26988 29237 34866 40482 50362 51554 58474 69732 75543 77331 80964 87711 100724 103108 116948 151086 154662 175422 226629 231993 263133 302172 309324 335101 350844 453258 463986 526266 670202 906516 927972 1005303 1052532 1340404 2010606 3015909 4021212 4356313 6031818 8712626 12063636 13068939 17425252 26137878 39206817 52275756 78413634 156827268