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7085064 = 2337181233
BaseRepresentation
bin11011000001110000001000
3111022221212210
4123001300020
53303210224
6411505120
7114136110
oct33016010
914287783
107085064
113aaa128
1224581a0
131610b5c
14d26040
1594e429
hex6c1c08

7085064 has 64 divisors (see below), whose sum is σ = 20442240. Its totient is φ = 2004480.

The previous prime is 7085059. The next prime is 7085069. The reversal of 7085064 is 4605807.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7085059) and next prime (7085069).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7085069) 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, 30292 + ... + 30524.

It is an arithmetic number, because the mean of its divisors is an integer number (319410).

Almost surely, 27085064 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 7085064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221120).

7085064 is an abundant number, since it is smaller than the sum of its proper divisors (13357176).

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

7085064 is a wasteful number, since it uses less digits than its factorization.

7085064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 7085064 is about 2661.7783529062. The cubic root of 7085064 is about 192.0648652363.

The spelling of 7085064 in words is "seven million, eighty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 181 233 362 466 543 699 724 932 1086 1267 1398 1448 1631 1864 2172 2534 2796 3262 3801 4344 4893 5068 5592 6524 7602 9786 10136 13048 15204 19572 30408 39144 42173 84346 126519 168692 253038 295211 337384 506076 590422 885633 1012152 1180844 1771266 2361688 3542532 7085064