Search a number
-
+
184660164 = 2232131921093
BaseRepresentation
bin10110000000110…
…11000011000100
3110212110201010100
423000123003010
5334233111124
630153524100
74401404553
oct1300330304
9425421110
10184660164
1195265a07
1251a13630
132c346090
141a74bd9a
15113291c9
hexb01b0c4

184660164 has 108 divisors (see below), whose sum is σ = 531021036. Its totient is φ = 53778816.

The previous prime is 184660153. The next prime is 184660253. The reversal of 184660164 is 461066481.

184660164 is a `hidden beast` number, since 1 + 8 + 46 + 601 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117288900 + 67371264 = 10830^2 + 8208^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 168402 + ... + 169494.

Almost surely, 2184660164 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 184660164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265510518).

184660164 is an abundant number, since it is smaller than the sum of its proper divisors (346360872).

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

184660164 is a wasteful number, since it uses less digits than its factorization.

184660164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 184660164 is about 13588.9721465606. The cubic root of 184660164 is about 569.4528082052.

The spelling of 184660164 in words is "one hundred eighty-four million, six hundred sixty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 361 468 494 684 722 741 988 1083 1093 1444 1482 2166 2186 2223 2964 3249 3279 4332 4372 4446 4693 6498 6558 8892 9386 9837 12996 13116 14079 14209 18772 19674 20767 28158 28418 39348 41534 42237 42627 56316 56836 62301 83068 84474 85254 124602 127881 168948 170508 186903 249204 255762 269971 373806 394573 511524 539942 747612 789146 809913 1079884 1183719 1578292 1619826 2367438 2429739 3239652 3551157 4734876 4859478 5129449 7102314 9718956 10258898 14204628 15388347 20517796 30776694 46165041 61553388 92330082 184660164