Search a number
-
+
180413163 = 357172367
BaseRepresentation
bin10101100000011…
…10001011101011
3110120110221100000
422300032023223
5332141210123
625522514043
74320325620
oct1260161353
9416427300
10180413163
1192925097
1250505923
132b4b9c68
1419d64347
1510c8ab43
hexac0e2eb

180413163 has 72 divisors (see below), whose sum is σ = 328986112. Its totient is φ = 96764544.

The previous prime is 180413159. The next prime is 180413179. The reversal of 180413163 is 361314081.

180413163 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 180413163 - 22 = 180413159 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180413153) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 491406 + ... + 491772.

Almost surely, 2180413163 is an apocalyptic number.

180413163 is a deficient number, since it is larger than the sum of its proper divisors (148572949).

180413163 is an equidigital number, since it uses as much as digits as its factorization.

180413163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 180413163 is about 13431.7967152574. The cubic root of 180413163 is about 565.0532886278.

The spelling of 180413163 in words is "one hundred eighty million, four hundred thirteen thousand, one hundred sixty-three".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 243 289 357 367 459 567 867 1071 1101 1377 1701 2023 2569 2601 3213 3303 4131 6069 6239 7707 7803 9639 9909 18207 18717 23121 23409 28917 29727 43673 54621 56151 69363 70227 89181 106063 131019 163863 168453 208089 318189 393057 491589 505359 624267 742441 954567 1179171 1516077 2227323 2863701 3537513 6681969 8591103 10612539 20045907 25773309 60137721 180413163