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7006020 = 2235722383
BaseRepresentation
bin11010101110011101000100
3111011221110020
4122232131010
53243143040
6410055140
7113356500
oct32563504
914157406
107006020
113a557aa
12241a4b0
1315b3b98
14d05300
15935cd0
hex6ae744

7006020 has 72 divisors (see below), whose sum is σ = 22829184. Its totient is φ = 1600704.

The previous prime is 7005997. The next prime is 7006063. The reversal of 7006020 is 206007.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1749 + ... + 4131.

It is an arithmetic number, because the mean of its divisors is an integer number (317072).

Almost surely, 27006020 is an apocalyptic number.

7006020 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7006020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11414592).

7006020 is an abundant number, since it is smaller than the sum of its proper divisors (15823164).

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

7006020 is a wasteful number, since it uses less digits than its factorization.

7006020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 7006020 is about 2646.8887396338. Note that the first 3 decimals coincide. The cubic root of 7006020 is about 191.3479399253.

The spelling of 7006020 in words is "seven million, six thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2383 2940 4766 7149 9532 11915 14298 16681 23830 28596 33362 35745 47660 50043 66724 71490 83405 100086 116767 142980 166810 200172 233534 250215 333620 350301 467068 500430 583835 700602 1000860 1167670 1401204 1751505 2335340 3503010 7006020