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2707216 = 241737269
BaseRepresentation
bin1010010100111100010000
312002112121021
422110330100
51143112331
6134005224
732003521
oct12247420
95075537
102707216
111589a76
12aa6814
1373a305
14506848
15387211
hex294f10

2707216 has 40 divisors (see below), whose sum is σ = 5725080. Its totient is φ = 1234944.

The previous prime is 2707213. The next prime is 2707223. The reversal of 2707216 is 6127072.

It can be written as a sum of positive squares in 4 ways, for example, as 633616 + 2073600 = 796^2 + 1440^2 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2707213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9930 + ... + 10198.

It is an arithmetic number, because the mean of its divisors is an integer number (143127).

22707216 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 2707216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862540).

2707216 is an abundant number, since it is smaller than the sum of its proper divisors (3017864).

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

2707216 is a wasteful number, since it uses less digits than its factorization.

2707216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 2707216 is about 1645.3619662554. The cubic root of 2707216 is about 139.3716054191.

The spelling of 2707216 in words is "two million, seven hundred seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 269 272 296 538 592 629 1076 1258 2152 2516 4304 4573 5032 9146 9953 10064 18292 19906 36584 39812 73168 79624 159248 169201 338402 676804 1353608 2707216