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7005020 = 22511171873
BaseRepresentation
bin11010101110001101011100
3111011220002012
4122232031130
53243130040
6410050352
7113353541
oct32561534
914156065
107005020
113a54a80
1224199b8
1315b35a9
14d04bc8
15935865
hex6ae35c

7005020 has 48 divisors (see below), whose sum is σ = 17000928. Its totient is φ = 2396160.

The previous prime is 7005017. The next prime is 7005023. The reversal of 7005020 is 205007.

It is an interprime number because it is at equal distance from previous prime (7005017) and next prime (7005023).

It is a junction number, because it is equal to n+sod(n) for n = 7004986 and 7005004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7005023) 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 15 ways as a sum of consecutive naturals, for example, 2804 + ... + 4676.

It is an arithmetic number, because the mean of its divisors is an integer number (354186).

Almost surely, 27005020 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 7005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8500464).

7005020 is an abundant number, since it is smaller than the sum of its proper divisors (9995908).

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

7005020 is a wasteful number, since it uses less digits than its factorization.

7005020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 7005020 is about 2646.6998318661. The cubic root of 7005020 is about 191.3388355148.

The spelling of 7005020 in words is "seven million, five thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 1873 3740 3746 7492 9365 18730 20603 31841 37460 41206 63682 82412 103015 127364 159205 206030 318410 350251 412060 636820 700502 1401004 1751255 3502510 7005020