Search a number
-
+
161838504 = 233217196959
BaseRepresentation
bin10011010010101…
…11010110101000
3102021112020200200
421221113112220
5312412313004
624020432200
74003414242
oct1151272650
9367466620
10161838504
1183398733
1246248660
13276b5539
14176cb092
15e31c239
hex9a575a8

161838504 has 96 divisors (see below), whose sum is σ = 488592000. Its totient is φ = 48093696.

The previous prime is 161838497. The next prime is 161838517. The reversal of 161838504 is 405838161.

161838504 is a `hidden beast` number, since 1 + 618 + 38 + 5 + 0 + 4 = 666.

161838504 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19777 + ... + 26735.

It is an arithmetic number, because the mean of its divisors is an integer number (5089500).

Almost surely, 2161838504 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 161838504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244296000).

161838504 is an abundant number, since it is smaller than the sum of its proper divisors (326753496).

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

161838504 is a wasteful number, since it uses less digits than its factorization.

161838504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7007 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 161838504 is about 12721.5763174223. The cubic root of 161838504 is about 544.9549708890.

The spelling of 161838504 in words is "one hundred sixty-one million, eight hundred thirty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 456 612 646 684 969 1224 1292 1368 1938 2584 2907 3876 5814 6959 7752 11628 13918 20877 23256 27836 41754 55672 62631 83508 118303 125262 132221 167016 236606 250524 264442 354909 396663 473212 501048 528884 709818 793326 946424 1057768 1064727 1189989 1419636 1586652 2129454 2247757 2379978 2839272 3173304 4258908 4495514 4759956 6743271 8517816 8991028 9519912 13486542 17982056 20229813 26973084 40459626 53946168 80919252 161838504