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7056216 = 2332234261
BaseRepresentation
bin11010111010101101011000
3111021111022100
4122322231120
53301244331
6411123400
7113656026
oct32725530
914244270
107056216
113a8a492
122443560
13160099b
14d19716
15945ae6
hex6bab58

7056216 has 48 divisors (see below), whose sum is σ = 19946160. Its totient is φ = 2249280.

The previous prime is 7056211. The next prime is 7056227. The reversal of 7056216 is 6126507.

It is a self number, because there is not a number n which added to its sum of digits gives 7056216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7056211) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 475 + ... + 3786.

It is an arithmetic number, because the mean of its divisors is an integer number (415545).

Almost surely, 27056216 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 7056216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9973080).

7056216 is an abundant number, since it is smaller than the sum of its proper divisors (12889944).

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

7056216 is a wasteful number, since it uses less digits than its factorization.

7056216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7056216 is about 2656.3538920859. The cubic root of 7056216 is about 191.8038361085.

It can be divided in two parts, 705 and 6216, that multiplied together give a triangular number (4382280 = T2960).

The spelling of 7056216 in words is "seven million, fifty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 4261 8522 12783 17044 25566 34088 38349 51132 76698 98003 102264 153396 196006 294009 306792 392012 588018 784024 882027 1176036 1764054 2352072 3528108 7056216