Search a number
-
+
1216112136 = 233175356239
BaseRepresentation
bin100100001111100…
…0110011000001000
310010202022220020020
41020133012120020
54442311042021
6320401300440
742064532301
oct11037063010
93122286206
101216112136
11574511058
1229b334720
13164c460a5
14b77257a8
1571b6e7c6
hex487c6608

1216112136 has 64 divisors (see below), whose sum is σ = 3279916800. Its totient is φ = 374320128.

The previous prime is 1216112123. The next prime is 1216112159. The reversal of 1216112136 is 6312116121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6496 + ... + 49743.

It is an arithmetic number, because the mean of its divisors is an integer number (51248700).

Almost surely, 21216112136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216112136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639958400).

1216112136 is an abundant number, since it is smaller than the sum of its proper divisors (2063804664).

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

1216112136 is a wasteful number, since it uses less digits than its factorization.

1216112136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56318 (or 56314 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 1216112136 is about 34872.7993714299. The cubic root of 1216112136 is about 1067.3934681171.

Adding to 1216112136 its reverse (6312116121), we get a palindrome (7528228257).

The spelling of 1216112136 in words is "one billion, two hundred sixteen million, one hundred twelve thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 408 424 636 901 1272 1802 2703 3604 5406 7208 10812 21624 56239 112478 168717 224956 337434 449912 674868 956063 1349736 1912126 2868189 2980667 3824252 5736378 5961334 7648504 8942001 11472756 11922668 17884002 22945512 23845336 35768004 50671339 71536008 101342678 152014017 202685356 304028034 405370712 608056068 1216112136