Search a number
-
+
7090680960 = 27325111729227
BaseRepresentation
bin1101001101010001…
…10011010010000000
3200022011100220200100
412212220303102000
5104010203242320
63131333522400
7340466536146
oct64650632200
920264326610
107090680960
113009560610
12145a7a3400
13890035b0c
144b3a03596
152b777c790
hex1a6a33480

7090680960 has 768 divisors, whose sum is σ = 29386281600. Its totient is φ = 1555169280.

The previous prime is 7090680941. The next prime is 7090680967. The reversal of 7090680960 is 690860907.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7090680967) 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 95 ways as a sum of consecutive naturals, for example, 31236367 + ... + 31236593.

Almost surely, 27090680960 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 7090680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14693140800).

7090680960 is an abundant number, since it is smaller than the sum of its proper divisors (22295600640).

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

7090680960 is a wasteful number, since it uses less digits than its factorization.

7090680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7090680960 is about 84206.1812457969. The cubic root of 7090680960 is about 1921.1560745955.

The spelling of 7090680960 in words is "seven billion, ninety million, six hundred eighty thousand, nine hundred sixty".