Search a number
-
+
7007940 = 2232538933
BaseRepresentation
bin11010101110111011000100
3111012001002100
4122232323010
53243223230
6410112100
7113365212
oct32567304
914161070
107007940
113a57195
12241b630
1315b4a14
14d05cb2
15936660
hex6aeec4

7007940 has 36 divisors (see below), whose sum is σ = 21257964. Its totient is φ = 1868736.

The previous prime is 7007933. The next prime is 7007947. The reversal of 7007940 is 497007.

It is an interprime number because it is at equal distance from previous prime (7007933) and next prime (7007947).

It can be written as a sum of positive squares in 2 ways, for example, as 777924 + 6230016 = 882^2 + 2496^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×70079402 = 98222446087200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7007947) 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 11 ways as a sum of consecutive naturals, for example, 19287 + ... + 19646.

It is an arithmetic number, because the mean of its divisors is an integer number (590499).

Almost surely, 27007940 is an apocalyptic number.

It is an amenable number.

7007940 is an abundant number, since it is smaller than the sum of its proper divisors (14250024).

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

7007940 is a wasteful number, since it uses less digits than its factorization.

7007940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38948 (or 38943 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 7007940 is about 2647.2514047593. The cubic root of 7007940 is about 191.3654179651.

The spelling of 7007940 in words is "seven million, seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 38933 77866 116799 155732 194665 233598 350397 389330 467196 583995 700794 778660 1167990 1401588 1751985 2335980 3503970 7007940