Search a number
-
+
5820306492 = 223711132321067
BaseRepresentation
bin1010110101110101…
…01101010000111100
3120000121221012112010
411122322231100330
543404444301432
62401313211220
7264142534410
oct53272552074
916017835463
105820306492
112517458460
121165260b10
13719aa1550
143d2dd4d40
15240e903cc
hex15aead43c

5820306492 has 192 divisors, whose sum is σ = 19027943424. Its totient is φ = 1334741760.

The previous prime is 5820306449. The next prime is 5820306511. The reversal of 5820306492 is 2946030285.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5820306492.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265743 + ... + 286809.

It is an arithmetic number, because the mean of its divisors is an integer number (99103872).

Almost surely, 25820306492 is an apocalyptic number.

5820306492 is a gapful number since it is divisible by the number (52) 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 5820306492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9513971712).

5820306492 is an abundant number, since it is smaller than the sum of its proper divisors (13207636932).

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

5820306492 is a wasteful number, since it uses less digits than its factorization.

5820306492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21128 (or 21126 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 5820306492 is about 76290.9332227625. The cubic root of 5820306492 is about 1798.7961592478.

The spelling of 5820306492 in words is "five billion, eight hundred twenty million, three hundred six thousand, four hundred ninety-two".