Search a number
-
+
180520704 = 2833721341
BaseRepresentation
bin10101100001010…
…00011100000000
3110120200101212000
422300220130000
5332203130304
625525104000
74321254300
oct1260503400
9416611760
10180520704
1192998971
1250558000
132b526bb0
1419d91600
1510cac939
hexac28700

180520704 has 432 divisors, whose sum is σ = 685067040. Its totient is φ = 46448640.

The previous prime is 180520699. The next prime is 180520723. The reversal of 180520704 is 407025081.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4402924 + ... + 4402964.

Almost surely, 2180520704 is an apocalyptic number.

180520704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180520704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342533520).

180520704 is an abundant number, since it is smaller than the sum of its proper divisors (504546336).

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

180520704 is a wasteful number, since it uses less digits than its factorization.

180520704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 180520704 is about 13435.7993435448. The cubic root of 180520704 is about 565.1655389846.

Adding to 180520704 its reverse (407025081), we get a palindrome (587545785).

The spelling of 180520704 in words is "one hundred eighty million, five hundred twenty thousand, seven hundred four".