Search a number
-
+
120226509 = 32131954083
BaseRepresentation
bin1110010101010…
…00001011001101
322101020010202200
413022220023031
5221234222014
615532512113
72656623414
oct712501315
9271203680
10120226509
1161956a57
123431b639
131bba6060
1411d7847b
15a84ca09
hex72a82cd

120226509 has 24 divisors (see below), whose sum is σ = 196865760. Its totient is φ = 70090272.

The previous prime is 120226493. The next prime is 120226511. The reversal of 120226509 is 905622021.

120226509 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 2 + 650 + 9 = 666.

It is not a de Polignac number, because 120226509 - 24 = 120226493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120226529) 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 23 ways as a sum of consecutive naturals, for example, 24819 + ... + 29264.

It is an arithmetic number, because the mean of its divisors is an integer number (8202740).

Almost surely, 2120226509 is an apocalyptic number.

120226509 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

120226509 is a deficient number, since it is larger than the sum of its proper divisors (76639251).

120226509 is a wasteful number, since it uses less digits than its factorization.

120226509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54121 (or 54118 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 120226509 is about 10964.7849500116. The cubic root of 120226509 is about 493.5525638218.

The spelling of 120226509 in words is "one hundred twenty million, two hundred twenty-six thousand, five hundred nine".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 2223 54083 162249 486747 703079 1027577 2109237 3082731 6327711 9248193 13358501 40075503 120226509