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180542900 = 22524494021
BaseRepresentation
bin10101100001011…
…01110110110100
3110120201112022002
422300231312310
5332204333100
625525354432
74321406066
oct1260556664
9416645262
10180542900
1192a0360a
1250568a18
132b534025
1419d99736
1510cb42d5
hexac2ddb4

180542900 has 36 divisors (see below), whose sum is σ = 392748300. Its totient is φ = 72038400.

The previous prime is 180542897. The next prime is 180542911. The reversal of 180542900 is 9245081.

180542900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 21883684 + 158659216 = 4678^2 + 12596^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42890 + ... + 46910.

It is an arithmetic number, because the mean of its divisors is an integer number (10909675).

Almost surely, 2180542900 is an apocalyptic number.

180542900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180542900 is an abundant number, since it is smaller than the sum of its proper divisors (212205400).

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

180542900 is a wasteful number, since it uses less digits than its factorization.

180542900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 180542900 is about 13436.6253203697. The cubic root of 180542900 is about 565.1887014252.

Adding to 180542900 its reverse (9245081), we get a palindrome (189787981).

The spelling of 180542900 in words is "one hundred eighty million, five hundred forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 449 898 1796 2245 4021 4490 8042 8980 11225 16084 20105 22450 40210 44900 80420 100525 201050 402100 1805429 3610858 7221716 9027145 18054290 36108580 45135725 90271450 180542900