Search a number
-
+
6601920 = 263513232
BaseRepresentation
bin11001001011110011000000
3110102102010120
4121023303000
53142230140
6353300240
7110054403
oct31136300
913372116
106601920
1137aa136
122264680
1314a1c80
14c3bd3a
158a61d0
hex64bcc0

6601920 has 168 divisors, whose sum is σ = 23597616. Its totient is φ = 1554432.

The previous prime is 6601909. The next prime is 6601921. The reversal of 6601920 is 291066.

6601920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6601921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287029 + ... + 287051.

It is an arithmetic number, because the mean of its divisors is an integer number (140462).

Almost surely, 26601920 is an apocalyptic number.

6601920 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 6601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11798808).

6601920 is an abundant number, since it is smaller than the sum of its proper divisors (16995696).

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

6601920 is a wasteful number, since it uses less digits than its factorization.

6601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 6601920 is about 2569.4201680535. The cubic root of 6601920 is about 187.5959331303.

Adding to 6601920 its reverse (291066), we get a palindrome (6892986).

The spelling of 6601920 in words is "six million, six hundred one thousand, nine hundred twenty".