Search a number
-
+
120260205 = 32513241853
BaseRepresentation
bin1110010101100…
…00011001101101
322101021211222200
413022300121231
5221241311310
615533332113
72660123562
oct712603155
9271254880
10120260205
116197a2aa
1234337039
131bbb84b0
1411d86869
15a8579c0
hex72b066d

120260205 has 48 divisors (see below), whose sum is σ = 225681456. Its totient is φ = 58890240.

The previous prime is 120260197. The next prime is 120260209. The reversal of 120260205 is 502062021.

It can be written as a sum of positive squares in 8 ways, for example, as 18714276 + 101545929 = 4326^2 + 10077^2 .

It is not a de Polignac number, because 120260205 - 23 = 120260197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120260209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140559 + ... + 141411.

It is an arithmetic number, because the mean of its divisors is an integer number (4701697).

Almost surely, 2120260205 is an apocalyptic number.

120260205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120260205 is a deficient number, since it is larger than the sum of its proper divisors (105421251).

120260205 is a wasteful number, since it uses less digits than its factorization.

120260205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120260205 is about 10966.3213978070. The cubic root of 120260205 is about 493.5986689996.

The spelling of 120260205 in words is "one hundred twenty million, two hundred sixty thousand, two hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 241 585 723 853 1205 2169 2559 3133 3615 4265 7677 9399 10845 11089 12795 15665 28197 33267 38385 46995 55445 99801 140985 166335 205573 499005 616719 1027865 1850157 2672449 3083595 8017347 9250785 13362245 24052041 40086735 120260205