Search a number
-
+
6926640 = 2435721931
BaseRepresentation
bin11010011011000100110000
3111000220120020
4122123010300
53233123030
6404243440
7112606200
oct32330460
914026506
106926640
113a010a6
1223a0580
131586a06
14cc4400
1591c510
hex69b130

6926640 has 240 divisors, whose sum is σ = 27141120. Its totient is φ = 1451520.

The previous prime is 6926639. The next prime is 6926651. The reversal of 6926640 is 466296.

It is a tau number, because it is divible by the number of its divisors (240).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223425 + ... + 223455.

It is an arithmetic number, because the mean of its divisors is an integer number (113088).

Almost surely, 26926640 is an apocalyptic number.

6926640 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 6926640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570560).

6926640 is an abundant number, since it is smaller than the sum of its proper divisors (20214480).

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

6926640 is a wasteful number, since it uses less digits than its factorization.

6926640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 6926640 is about 2631.8510596156. The cubic root of 6926640 is about 190.6225195413.

The spelling of 6926640 in words is "six million, nine hundred twenty-six thousand, six hundred forty".