Search a number
-
+
5805231120 = 243651321931
BaseRepresentation
bin1010110100000010…
…01100110000010000
3112222120120022000000
411122001030300100
543342114343440
62400014130000
7263600436033
oct53201146020
915876508000
105805231120
1125099a1077
1211601b0900
13716923800
143d0dcd01a
1523e9b3730
hex15a04cc10

5805231120 has 840 divisors, whose sum is σ = 23810261760. Its totient is φ = 1310100480.

The previous prime is 5805231097. The next prime is 5805231137. The reversal of 5805231120 is 211325085.

It is a happy number.

5805231120 is a `hidden beast` number, since 580 + 52 + 3 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 187265505 + ... + 187265535.

Almost surely, 25805231120 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 5805231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11905130880).

5805231120 is an abundant number, since it is smaller than the sum of its proper divisors (18005030640).

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

5805231120 is a wasteful number, since it uses less digits than its factorization.

5805231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5805231120 is about 76192.0673036242. The cubic root of 5805231120 is about 1797.2417756023.

The spelling of 5805231120 in words is "five billion, eight hundred five million, two hundred thirty-one thousand, one hundred twenty".