[go: up one dir, main page]

Search a number
-
+
180158540 = 22523457857
BaseRepresentation
bin10101011110100…
…00000001001100
3110120000000001112
422233100001030
5332110033130
625513231152
74315215362
oct1257200114
9416000045
10180158540
1192770861
12504024b8
132b42b0b3
1419cd9632
1510c3a495
hexabd004c

180158540 has 48 divisors (see below), whose sum is σ = 396107712. Its totient is φ = 68699136.

The previous prime is 180158533. The next prime is 180158543. The reversal of 180158540 is 45851081.

It is a junction number, because it is equal to n+sod(n) for n = 180158497 and 180158506.

It is not an unprimeable number, because it can be changed into a prime (180158543) 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 15 ways as a sum of consecutive naturals, for example, 209792 + ... + 210648.

It is an arithmetic number, because the mean of its divisors is an integer number (8252244).

Almost surely, 2180158540 is an apocalyptic number.

180158540 is a gapful number since it is divisible by the number (10) 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 180158540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198053856).

180158540 is an abundant number, since it is smaller than the sum of its proper divisors (215949172).

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

180158540 is a wasteful number, since it uses less digits than its factorization.

180158540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The square root of 180158540 is about 13422.3150015189. The cubic root of 180158540 is about 564.7873374084.

The spelling of 180158540 in words is "one hundred eighty million, one hundred fifty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 457 460 857 914 1714 1828 2285 3428 4285 4570 8570 9140 10511 17140 19711 21022 39422 42044 52555 78844 98555 105110 197110 210220 391649 394220 783298 1566596 1958245 3916490 7832980 9007927 18015854 36031708 45039635 90079270 180158540