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180046836 = 22325001301
BaseRepresentation
bin10101011101101…
…00101111110100
3110112210022211100
422232310233310
5332042444321
625511010100
74314241614
oct1256645764
9415708740
10180046836
11926a4942
1250369930
132b3bc2b8
1419caaa44
1510c17326
hexabb4bf4

180046836 has 18 divisors (see below), whose sum is σ = 455118482. Its totient is φ = 60015600.

The previous prime is 180046817. The next prime is 180046843. The reversal of 180046836 is 638640081.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 178382736 + 1664100 = 13356^2 + 1290^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1800468362 = 64833726307221792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 5001301 = 180046836 / (1 + 8 + 0 + 0 + 4 + 6 + 8 + 3 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 180046836.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2500615 + ... + 2500686.

Almost surely, 2180046836 is an apocalyptic number.

It is an amenable number.

180046836 is an abundant number, since it is smaller than the sum of its proper divisors (275071646).

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

180046836 is a wasteful number, since it uses less digits than its factorization.

180046836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001311 (or 5001306 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 180046836 is about 13418.1532261336. The cubic root of 180046836 is about 564.6705845967.

The spelling of 180046836 in words is "one hundred eighty million, forty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 5001301 10002602 15003903 20005204 30007806 45011709 60015612 90023418 180046836