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5631216 = 2431767103
BaseRepresentation
bin10101011110110011110000
3101121002120120
4111132303300
52420144331
6320410240
765602353
oct25366360
911532516
105631216
1131a68a8
121a76980
1312221a6
14a6829a
15763796
hex55ecf0

5631216 has 80 divisors (see below), whose sum is σ = 15784704. Its totient is φ = 1723392.

The previous prime is 5631209. The next prime is 5631221. The reversal of 5631216 is 6121365.

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

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 15 ways as a sum of consecutive naturals, for example, 54621 + ... + 54723.

Almost surely, 25631216 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 5631216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892352).

5631216 is an abundant number, since it is smaller than the sum of its proper divisors (10153488).

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

5631216 is a wasteful number, since it uses less digits than its factorization.

5631216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 5631216 is about 2373.0183311555. The cubic root of 5631216 is about 177.9101511788.

The spelling of 5631216 in words is "five million, six hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 67 68 102 103 134 136 201 204 206 268 272 309 402 408 412 536 618 804 816 824 1072 1139 1236 1608 1648 1751 2278 2472 3216 3417 3502 4556 4944 5253 6834 6901 7004 9112 10506 13668 13802 14008 18224 20703 21012 27336 27604 28016 41406 42024 54672 55208 82812 84048 110416 117317 165624 234634 331248 351951 469268 703902 938536 1407804 1877072 2815608 5631216