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7005740 = 2257163307
BaseRepresentation
bin11010101110011000101100
3111011221001212
4122232120230
53243140430
6410053552
7113355620
oct32563054
914157055
107005740
113a55575
12241a2b8
1315b3a11
14d05180
15935b95
hex6ae62c

7005740 has 48 divisors (see below), whose sum is σ = 16972032. Its totient is φ = 2379456.

The previous prime is 7005727. The next prime is 7005743. The reversal of 7005740 is 475007.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7005743) 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, 22667 + ... + 22973.

It is an arithmetic number, because the mean of its divisors is an integer number (353584).

Almost surely, 27005740 is an apocalyptic number.

7005740 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 7005740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8486016).

7005740 is an abundant number, since it is smaller than the sum of its proper divisors (9966292).

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

7005740 is a wasteful number, since it uses less digits than its factorization.

7005740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 7005740 is about 2646.8358468179. The cubic root of 7005740 is about 191.3453907777.

The spelling of 7005740 in words is "seven million, five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 307 326 614 652 815 1141 1228 1535 1630 2149 2282 3070 3260 4298 4564 5705 6140 8596 10745 11410 21490 22820 42980 50041 100082 200164 250205 350287 500410 700574 1000820 1401148 1751435 3502870 7005740