Search a number
-
+
180526420 = 22577311677
BaseRepresentation
bin10101100001010…
…01110101010100
3110120200200200201
422300221311110
5332203321140
625525150244
74321310044
oct1260516524
9416620621
10180526420
11929a2198
125055b384
132b529689
1419d93724
1510cae49a
hexac29d54

180526420 has 24 divisors (see below), whose sum is σ = 379628424. Its totient is φ = 72110976.

The previous prime is 180526399. The next prime is 180526433. The reversal of 180526420 is 24625081.

It can be written as a sum of positive squares in 4 ways, for example, as 11370384 + 169156036 = 3372^2 + 13006^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9622 + ... + 21298.

It is an arithmetic number, because the mean of its divisors is an integer number (15817851).

Almost surely, 2180526420 is an apocalyptic number.

180526420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180526420 is an abundant number, since it is smaller than the sum of its proper divisors (199102004).

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

180526420 is a wasteful number, since it uses less digits than its factorization.

180526420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12459 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 180526420 is about 13436.0120571545. The cubic root of 180526420 is about 565.1715040477.

The spelling of 180526420 in words is "one hundred eighty million, five hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 773 1546 3092 3865 7730 11677 15460 23354 46708 58385 116770 233540 9026321 18052642 36105284 45131605 90263210 180526420