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7085676 = 2231353857
BaseRepresentation
bin11011000001111001101100
3111022222201110
4123001321230
53303220201
6411512020
7114140643
oct33017154
914288643
107085676
113aaa634
122458610
131611210
14d2635a
1594e6d6
hex6c1e6c

7085676 has 48 divisors (see below), whose sum is σ = 18162144. Its totient is φ = 2136576.

The previous prime is 7085653. The next prime is 7085681. The reversal of 7085676 is 6765807.

7085676 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7840 + ... + 8696.

It is an arithmetic number, because the mean of its divisors is an integer number (378378).

Almost surely, 27085676 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 7085676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081072).

7085676 is an abundant number, since it is smaller than the sum of its proper divisors (11076468).

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

7085676 is a wasteful number, since it uses less digits than its factorization.

7085676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 7085676 is about 2661.8933111603. The cubic root of 7085676 is about 192.0703951940.

The spelling of 7085676 in words is "seven million, eighty-five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 857 1378 1714 2067 2571 2756 3428 4134 5142 8268 10284 11141 22282 33423 44564 45421 66846 90842 133692 136263 181684 272526 545052 590473 1180946 1771419 2361892 3542838 7085676