Search a number
-
+
120905717 = 1740917389
BaseRepresentation
bin1110011010011…
…01111111110101
322102111122110112
413031031333311
5221422440332
615555232405
72665452542
oct715157765
9272448415
10120905717
1162280289
12345a8705
131c08325a
14120b3bc9
15a933db2
hex734dff5

120905717 has 8 divisors (see below), whose sum is σ = 128338200. Its totient is φ = 113508864.

The previous prime is 120905713. The next prime is 120905749. The reversal of 120905717 is 717509021.

It can be written as a sum of positive squares in 4 ways, for example, as 68574961 + 52330756 = 8281^2 + 7234^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 120905717 - 22 = 120905713 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120905713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1742 + ... + 15647.

It is an arithmetic number, because the mean of its divisors is an integer number (16042275).

Almost surely, 2120905717 is an apocalyptic number.

120905717 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

120905717 is a deficient number, since it is larger than the sum of its proper divisors (7432483).

120905717 is a wasteful number, since it uses less digits than its factorization.

120905717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17815.

The product of its (nonzero) digits is 4410, while the sum is 32.

The square root of 120905717 is about 10995.7135739342. The cubic root of 120905717 is about 494.4802448382.

The spelling of 120905717 in words is "one hundred twenty million, nine hundred five thousand, seven hundred seventeen".

Divisors: 1 17 409 6953 17389 295613 7112101 120905717