Search a number
-
+
180503964 = 22341493739
BaseRepresentation
bin10101100001001…
…00010110011100
3110120122112220000
422300210112130
5332202111324
625524454300
74321154424
oct1260442634
9416575800
10180503964
1192987333
125054a390
132b51c3a4
1419d89484
1510ca79c9
hexac2459c

180503964 has 60 divisors (see below), whose sum is σ = 475167000. Its totient is φ = 59748192.

The previous prime is 180503893. The next prime is 180503989. The reversal of 180503964 is 469305081.

180503964 is digitally balanced in base 3, 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46407 + ... + 50145.

It is an arithmetic number, because the mean of its divisors is an integer number (7919450).

Almost surely, 2180503964 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 180503964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237583500).

180503964 is an abundant number, since it is smaller than the sum of its proper divisors (294663036).

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

180503964 is a wasteful number, since it uses less digits than its factorization.

180503964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 180503964 is about 13435.1763665387. The cubic root of 180503964 is about 565.1480688490.

The spelling of 180503964 in words is "one hundred eighty million, five hundred three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 298 324 447 596 894 1341 1788 2682 3739 4023 5364 7478 8046 11217 12069 14956 16092 22434 24138 33651 44868 48276 67302 100953 134604 201906 302859 403812 557111 605718 1114222 1211436 1671333 2228444 3342666 5013999 6685332 10027998 15041997 20055996 30083994 45125991 60167988 90251982 180503964