Search a number
-
+
6798480 = 2435132179
BaseRepresentation
bin11001111011110010010000
3110210101202120
4121323302100
53220022410
6401414240
7111533433
oct31736220
913711676
106798480
113923887
12233a380
131540590
14c8d81a
158e4570
hex67bc90

6798480 has 80 divisors (see below), whose sum is σ = 22706880. Its totient is φ = 1672704.

The previous prime is 6798457. The next prime is 6798527. The reversal of 6798480 is 848976.

It is a happy number.

6798480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2031 + ... + 4209.

It is an arithmetic number, because the mean of its divisors is an integer number (283836).

Almost surely, 26798480 is an apocalyptic number.

6798480 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 6798480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11353440).

6798480 is an abundant number, since it is smaller than the sum of its proper divisors (15908400).

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

6798480 is a wasteful number, since it uses less digits than its factorization.

6798480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 6798480 is about 2607.3894990967. The cubic root of 6798480 is about 189.4395302311.

The spelling of 6798480 in words is "six million, seven hundred ninety-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 2179 3120 4358 6537 8716 10895 13074 17432 21790 26148 28327 32685 34864 43580 52296 56654 65370 84981 87160 104592 113308 130740 141635 169962 174320 226616 261480 283270 339924 424905 453232 522960 566540 679848 849810 1133080 1359696 1699620 2266160 3399240 6798480