Search a number
-
+
1216057986 = 23211213291481
BaseRepresentation
bin100100001111011…
…1001001010000010
310010202020010221200
41020132321022002
54442302323421
6320400202030
742064215363
oct11036711202
93122203850
101216057986
11574484400
1229b309316
13164c27550
14b770db6a
1571b5d726
hex487b9282

1216057986 has 144 divisors (see below), whose sum is σ = 3228596280. Its totient is φ = 328204800.

The previous prime is 1216057979. The next prime is 1216058003. The reversal of 1216057986 is 6897506121.

1216057986 is a `hidden beast` number, since 12 + 1 + 60 + 579 + 8 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 814817025 + 401240961 = 28545^2 + 20031^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 820366 + ... + 821846.

Almost surely, 21216057986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216057986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614298140).

1216057986 is an abundant number, since it is smaller than the sum of its proper divisors (2012538294).

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

1216057986 is a wasteful number, since it uses less digits than its factorization.

1216057986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1216057986 is about 34872.0229697103. The cubic root of 1216057986 is about 1067.3776252211.

The spelling of 1216057986 in words is "one billion, two hundred sixteen million, fifty-seven thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 29 33 39 58 66 78 87 99 117 121 143 174 198 234 242 261 286 319 363 377 429 522 638 726 754 858 957 1089 1131 1287 1481 1573 1914 2178 2262 2574 2871 2962 3146 3393 3509 4147 4443 4719 5742 6786 7018 8294 8886 9438 10527 12441 13329 14157 16291 19253 21054 24882 26658 28314 31581 32582 37323 38506 42949 45617 48873 57759 63162 74646 85898 91234 97746 115518 128847 136851 146619 173277 179201 211783 257694 273702 293238 346554 358402 386541 410553 423566 472439 537603 558337 635349 773082 821106 944878 1075206 1116674 1270698 1417317 1612809 1675011 1906047 2329613 2834634 3225618 3350022 3812094 4251951 4659226 5025033 5196829 6141707 6988839 8503902 10050066 10393658 12283414 13977678 15590487 18425121 20966517 31180974 36850242 41933034 46771461 55275363 67558777 93542922 110550726 135117554 202676331 405352662 608028993 1216057986