Search a number
-
+
5783640520 = 2357229971049
BaseRepresentation
bin1010110001011101…
…10101100111001000
3112221001221101021011
411120232311213020
543321102444040
62353523253304
7263216063500
oct53056654710
915831841234
105783640520
1124a87947a9
121154b1a234
137123043c8
143cc1aca00
1523cb4b3ea
hex158bb59c8

5783640520 has 192 divisors, whose sum is σ = 15836310000. Its totient is φ = 1893040128.

The previous prime is 5783640517. The next prime is 5783640521. The reversal of 5783640520 is 250463875.

It can be written as a sum of positive squares in 8 ways, for example, as 3765295044 + 2018345476 = 61362^2 + 44926^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5783640521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5512956 + ... + 5514004.

Almost surely, 25783640520 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 5783640520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7918155000).

5783640520 is an abundant number, since it is smaller than the sum of its proper divisors (10052669480).

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

5783640520 is a wasteful number, since it uses less digits than its factorization.

5783640520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 5783640520 is about 76050.2499667161. The cubic root of 5783640520 is about 1795.0109293955.

The spelling of 5783640520 in words is "five billion, seven hundred eighty-three million, six hundred forty thousand, five hundred twenty".