Search a number
-
+
2160360216 = 2332721135419
BaseRepresentation
bin1000000011000100…
…0111101100011000
312120120002200002100
42000301013230120
513411023011331
6554212003400
7104351521200
oct20061075430
95516080070
102160360216
11a09515673
12503600560
13285762a71
14166cbd400
15c99dbae6
hex80c47b18

2160360216 has 144 divisors (see below), whose sum is σ = 6867736200. Its totient is φ = 611670528.

The previous prime is 2160360203. The next prime is 2160360227. The reversal of 2160360216 is 6120630612.

It is a self number, because there is not a number n which added to its sum of digits gives 2160360216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 395955 + ... + 401373.

Almost surely, 22160360216 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 2160360216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433868100).

2160360216 is an abundant number, since it is smaller than the sum of its proper divisors (4707375984).

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

2160360216 is a wasteful number, since it uses less digits than its factorization.

2160360216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2160360216 is about 46479.6753000707. The cubic root of 2160360216 is about 1292.7326676034.

Adding to 2160360216 its reverse (6120630612), we get a palindrome (8280990828).

The spelling of 2160360216 in words is "two billion, one hundred sixty million, three hundred sixty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 113 126 147 168 196 226 252 294 339 392 441 452 504 588 678 791 882 904 1017 1176 1356 1582 1764 2034 2373 2712 3164 3528 4068 4746 5419 5537 6328 7119 8136 9492 10838 11074 14238 16257 16611 18984 21676 22148 28476 32514 33222 37933 43352 44296 48771 49833 56952 65028 66444 75866 97542 99666 113799 130056 132888 151732 195084 199332 227598 265531 303464 341397 390168 398664 455196 531062 612347 682794 796593 910392 1062124 1224694 1365588 1593186 1837041 2124248 2389779 2449388 2731176 3186372 3674082 4286429 4779558 4898776 5511123 6372744 7348164 8572858 9559116 11022246 12859287 14696328 17145716 19118232 22044492 25718574 30005003 34291432 38577861 44088984 51437148 60010006 77155722 90015009 102874296 120020012 154311444 180030018 240040024 270045027 308622888 360060036 540090054 720120072 1080180108 2160360216