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180413316 = 223217294793
BaseRepresentation
bin10101100000011…
…10001110000100
3110120110221112200
422300032032010
5332141211231
625522514500
74320326226
oct1260161604
9416427480
10180413316
1192925216
1250505a30
132b4ba055
1419d64416
1510c8abe6
hexac0e384

180413316 has 36 divisors (see below), whose sum is σ = 482872572. Its totient is φ = 56600064.

The previous prime is 180413309. The next prime is 180413329. The reversal of 180413316 is 613314081.

It can be written as a sum of positive squares in 2 ways, for example, as 102090816 + 78322500 = 10104^2 + 8850^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 180413316.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146785 + ... + 148008.

It is an arithmetic number, because the mean of its divisors is an integer number (13413127).

Almost surely, 2180413316 is an apocalyptic number.

It is an amenable number.

180413316 is an abundant number, since it is smaller than the sum of its proper divisors (302459256).

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

180413316 is a wasteful number, since it uses less digits than its factorization.

180413316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294820 (or 294815 counting only the distinct ones).

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

The square root of 180413316 is about 13431.8024106968. The cubic root of 180413316 is about 565.0534483595.

Adding to 180413316 its reverse (613314081), we get a palindrome (793727397).

The spelling of 180413316 in words is "one hundred eighty million, four hundred thirteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 294793 589586 884379 1179172 1768758 2653137 3537516 5011481 5306274 10022962 10612548 15034443 20045924 30068886 45103329 60137772 90206658 180413316