Search a number
-
+
2031766146 = 233269139871
BaseRepresentation
bin111100100011010…
…0100101010000010
312020121010102012000
41321012210222002
513130113004041
6533335444430
7101230504314
oct17106445202
95217112160
102031766146
11952973a83
12488526716
13264c1a1b7
14153ba77b4
15bd589bb6
hex791a4a82

2031766146 has 32 divisors (see below), whose sum is σ = 4531852800. Its totient is φ = 674732880.

The previous prime is 2031766141. The next prime is 2031766147. The reversal of 2031766146 is 6416671302.

It is a happy number.

2031766146 is a `hidden beast` number, since 2 + 0 + 31 + 7 + 6 + 614 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2031766146.

It is not an unprimeable number, because it can be changed into a prime (2031766141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55410 + ... + 84461.

It is an arithmetic number, because the mean of its divisors is an integer number (141620400).

Almost surely, 22031766146 is an apocalyptic number.

2031766146 is an abundant number, since it is smaller than the sum of its proper divisors (2500086654).

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

2031766146 is a wasteful number, since it uses less digits than its factorization.

2031766146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140151 (or 140145 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2031766146 is about 45075.1167053398. The cubic root of 2031766146 is about 1266.5565150596.

The spelling of 2031766146 in words is "two billion, thirty-one million, seven hundred sixty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 269 538 807 1614 2421 4842 7263 14526 139871 279742 419613 839226 1258839 2517678 3776517 7553034 37625299 75250598 112875897 225751794 338627691 677255382 1015883073 2031766146