Search a number
-
+
1217807316 = 22321173103409
BaseRepresentation
bin100100010010110…
…0100001111010100
310010212112000120200
41020211210033110
54443224313231
6320501500500
742115122435
oct11045441724
93125460520
101217807316
11575469730
1229ba11730
131653ba85b
14b7a4748c
1571da6be6
hex489643d4

1217807316 has 144 divisors (see below), whose sum is σ = 3445653120. Its totient is φ = 359562240.

The previous prime is 1217807281. The next prime is 1217807321. The reversal of 1217807316 is 6137087121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2977320 + ... + 2977728.

Almost surely, 21217807316 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 1217807316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722826560).

1217807316 is an abundant number, since it is smaller than the sum of its proper divisors (2227845804).

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

1217807316 is a wasteful number, since it uses less digits than its factorization.

1217807316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1217807316 is about 34897.0960969534. The cubic root of 1217807316 is about 1067.8891965171.

The spelling of 1217807316 in words is "one billion, two hundred seventeen million, eight hundred seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 103 132 146 198 206 219 292 309 396 409 412 438 618 657 803 818 876 927 1133 1227 1236 1314 1606 1636 1854 2266 2409 2454 2628 3212 3399 3681 3708 4499 4532 4818 4908 6798 7227 7362 7519 8998 9636 10197 13497 13596 14454 14724 15038 17996 20394 22557 26994 28908 29857 30076 40491 40788 42127 45114 53988 59714 67671 80982 82709 84254 89571 90228 119428 126381 135342 161964 165418 168508 179142 248127 252762 268713 270684 328427 330836 358284 379143 463397 496254 505524 537426 656854 744381 758286 926794 985281 992508 1074852 1313708 1390191 1488762 1516572 1853588 1970562 2780382 2955843 2977524 3075271 3941124 4170573 5560764 5911686 6150542 8341146 9225813 11823372 12301084 16682292 18451626 27677439 33827981 36903252 55354878 67655962 101483943 110709756 135311924 202967886 304451829 405935772 608903658 1217807316