Search a number
-
+
185128992 = 2532642809
BaseRepresentation
bin10110000100011…
…01100000100000
3110220100112020100
423002031200200
5334343111432
630211542400
74405366446
oct1302154040
9426315210
10185128992
1195556174
1251bbaa00
132c47b5a9
141a830b96
15113bd07c
hexb08d820

185128992 has 36 divisors (see below), whose sum is σ = 526461390. Its totient is φ = 61709568.

The previous prime is 185128987. The next prime is 185129003. The reversal of 185128992 is 299821581.

It can be written as a sum of positive squares in only one way, i.e., 104775696 + 80353296 = 10236^2 + 8964^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 321117 + ... + 321692.

Almost surely, 2185128992 is an apocalyptic number.

185128992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

185128992 is an abundant number, since it is smaller than the sum of its proper divisors (341332398).

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

185128992 is a wasteful number, since it uses less digits than its factorization.

185128992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642825 (or 642814 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 185128992 is about 13606.2115226833. The cubic root of 185128992 is about 569.9343229961.

The spelling of 185128992 in words is "one hundred eighty-five million, one hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 642809 1285618 1928427 2571236 3856854 5142472 5785281 7713708 10284944 11570562 15427416 20569888 23141124 30854832 46282248 61709664 92564496 185128992