Search a number
-
+
6122044320 = 2535722311317
BaseRepresentation
bin1011011001110011…
…01111101110100000
3120210122201002000020
411230321233232200
5100014220404240
62451252353440
7304465342500
oct55471575640
916718632006
106122044320
112661809567
12122a315880
1376745a342
144210dba00
1525c6e40d0
hex16ce6fba0

6122044320 has 288 divisors, whose sum is σ = 23410332288. Its totient is φ = 1338365952.

The previous prime is 6122044319. The next prime is 6122044373. The reversal of 6122044320 is 234402216.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535302 + ... + 546618.

It is an arithmetic number, because the mean of its divisors is an integer number (81285876).

Almost surely, 26122044320 is an apocalyptic number.

6122044320 is a gapful number since it is divisible by the number (60) 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 6122044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11705166144).

6122044320 is an abundant number, since it is smaller than the sum of its proper divisors (17288287968).

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

6122044320 is a wasteful number, since it uses less digits than its factorization.

6122044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11372 (or 11357 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6122044320 is about 78243.4937870236. The cubic root of 6122044320 is about 1829.3585018982.

Adding to 6122044320 its reverse (234402216), we get a palindrome (6356446536).

The spelling of 6122044320 in words is "six billion, one hundred twenty-two million, forty-four thousand, three hundred twenty".