Search a number
-
+
18115965 = 3257172199
BaseRepresentation
bin100010100011…
…0110101111101
31021002101102200
41011012311331
514114202330
61444142113
7306661140
oct105066575
937071380
1018115965
11a25387a
126097939
1339a3a0a
142598057
1518cca60
hex1146d7d

18115965 has 72 divisors (see below), whose sum is σ = 38313600. Its totient is φ = 7755264.

The previous prime is 18115939. The next prime is 18115967. The reversal of 18115965 is 56951181.

It is not a de Polignac number, because 18115965 - 26 = 18115901 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18115967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90936 + ... + 91134.

Almost surely, 218115965 is an apocalyptic number.

18115965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18115965 is an abundant number, since it is smaller than the sum of its proper divisors (20197635).

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

18115965 is a wasteful number, since it uses less digits than its factorization.

18115965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its digits is 10800, while the sum is 36.

The square root of 18115965 is about 4256.2853522761. The cubic root of 18115965 is about 262.6357393206.

It can be divided in two parts, 1811 and 5965, that added together give a 5-th power (7776 = 65).

The spelling of 18115965 in words is "eighteen million, one hundred fifteen thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 199 255 289 315 357 595 597 765 867 995 1071 1393 1445 1785 1791 2023 2601 2985 3383 4179 4335 5355 6069 6965 8955 10115 10149 12537 13005 16915 18207 20895 23681 30345 30447 50745 57511 62685 71043 91035 118405 152235 172533 213129 287555 355215 402577 517599 862665 1065645 1207731 2012885 2587995 3623193 6038655 18115965