Search a number
-
+
7016680 = 2351137431
BaseRepresentation
bin11010110001000011101000
3111012111002001
4122301003220
53244013210
6410220344
7113432536
oct32610350
914174061
107016680
113a62810
1224246b4
1315b89a8
14d09156
1593903a
hex6b10e8

7016680 has 64 divisors (see below), whose sum is σ = 17729280. Its totient is φ = 2476800.

The previous prime is 7016663. The next prime is 7016683. The reversal of 7016680 is 866107.

7016680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (7016683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16065 + ... + 16495.

It is an arithmetic number, because the mean of its divisors is an integer number (277020).

Almost surely, 27016680 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 7016680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864640).

7016680 is an abundant number, since it is smaller than the sum of its proper divisors (10712600).

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

7016680 is a wasteful number, since it uses less digits than its factorization.

7016680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 7016680 is about 2648.9016591788. The cubic root of 7016680 is about 191.4449391430. Note that the first 3 decimals are identical.

It can be divided in two parts, 701 and 6680, that added together give a triangular number (7381 = T121).

The spelling of 7016680 in words is "seven million, sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 431 440 740 814 862 1480 1628 1724 2035 2155 3256 3448 4070 4310 4741 8140 8620 9482 15947 16280 17240 18964 23705 31894 37928 47410 63788 79735 94820 127576 159470 175417 189640 318940 350834 637880 701668 877085 1403336 1754170 3508340 7016680