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1216308132 = 2232134163389
BaseRepresentation
bin100100001111111…
…0110001110100100
310010202200212002100
41020133312032210
54442333330012
6320405412100
742066306564
oct11037661644
93122625070
101216308132
11574635336
1229b40a030
13164cb4370
14b7776da4
1571bac8dc
hex487f63a4

1216308132 has 72 divisors (see below), whose sum is σ = 3391872120. Its totient is φ = 365114880.

The previous prime is 1216308109. The next prime is 1216308139. The reversal of 1216308132 is 2318036121.

It is a happy number.

1216308132 is a `hidden beast` number, since 1 + 21 + 630 + 8 + 1 + 3 + 2 = 666.

1216308132 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6937956 + 1209370176 = 2634^2 + 34776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1216308096 and 1216308105.

It is not an unprimeable number, because it can be changed into a prime (1216308139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12507 + ... + 50882.

It is an arithmetic number, because the mean of its divisors is an integer number (47109335).

Almost surely, 21216308132 is an apocalyptic number.

1216308132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1216308132 is an abundant number, since it is smaller than the sum of its proper divisors (2175563988).

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

1216308132 is a wasteful number, since it uses less digits than its factorization.

1216308132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63453 (or 63448 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1216308132 is about 34875.6094140303. The cubic root of 1216308132 is about 1067.4508075696.

The spelling of 1216308132 in words is "one billion, two hundred sixteen million, three hundred eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1066 1476 1599 2132 3198 4797 6396 9594 19188 63389 126778 190167 253556 380334 570501 760668 824057 1141002 1648114 2282004 2472171 2598949 3296228 4944342 5197898 7416513 7796847 9888684 10395796 14833026 15593694 23390541 29666052 31187388 33786337 46781082 67572674 93562164 101359011 135145348 202718022 304077033 405436044 608154066 1216308132