Search a number
-
+
180678690 = 23254346687
BaseRepresentation
bin10101100010011…
…11000000100010
3110120222102120100
422301033000202
5332223204230
625532323230
74322513013
oct1261170042
9416872510
10180678690
1192a96635
1250613516
132b580a8a
1419dd300a
1510cde660
hexac4f022

180678690 has 48 divisors (see below), whose sum is σ = 480699648. Its totient is φ = 47059488.

The previous prime is 180678683. The next prime is 180678691. The reversal of 180678690 is 96876081.

It is a happy number.

180678690 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1806786902 = 65289578040232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (180678691) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19474 + ... + 27213.

It is an arithmetic number, because the mean of its divisors is an integer number (10014576).

Almost surely, 2180678690 is an apocalyptic number.

180678690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180678690 is an abundant number, since it is smaller than the sum of its proper divisors (300020958).

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

180678690 is a wasteful number, since it uses less digits than its factorization.

180678690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46743 (or 46740 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 180678690 is about 13441.6773506880. The cubic root of 180678690 is about 565.3303625683.

The spelling of 180678690 in words is "one hundred eighty million, six hundred seventy-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 46687 93374 140061 233435 280122 420183 466870 700305 840366 1400610 2007541 2100915 4015082 4201830 6022623 10037705 12045246 18067869 20075410 30113115 36135738 60226230 90339345 180678690