Search a number
-
+
120390705 = 36533029
BaseRepresentation
bin1110010110100…
…00010000110001
322101112111000000
413023100100301
5221310000310
615540220213
72661206211
oct713202061
9271474000
10120390705
1161a59356
123439a669
131bc32a06
1411dbc241
15a8814c0
hex72d0431

120390705 has 28 divisors (see below), whose sum is σ = 216610740. Its totient is φ = 64206432.

The previous prime is 120390689. The next prime is 120390713. The reversal of 120390705 is 507093021.

It can be written as a sum of positive squares in 2 ways, for example, as 12895281 + 107495424 = 3591^2 + 10368^2 .

It is not a de Polignac number, because 120390705 - 24 = 120390689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12870 + ... + 20159.

Almost surely, 2120390705 is an apocalyptic number.

120390705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120390705 is a deficient number, since it is larger than the sum of its proper divisors (96220035).

120390705 is an frugal number, since it uses more digits than its factorization.

120390705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33052 (or 33037 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 120390705 is about 10972.2698198686. The cubic root of 120390705 is about 493.7771468277. Note that the first 3 decimals are identical.

The spelling of 120390705 in words is "one hundred twenty million, three hundred ninety thousand, seven hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 33029 99087 165145 297261 495435 891783 1486305 2675349 4458915 8026047 13376745 24078141 40130235 120390705