[go: up one dir, main page]

Search a number
-
+
6894120 = 233573787
BaseRepresentation
bin11010010011001000101000
3110222020221210
4122103020220
53231102440
6403433120
7112412322
oct32231050
913866853
106894120
113989722
1223857a0
131574c7c
14cb6612
15912a80
hex693228

6894120 has 64 divisors (see below), whose sum is σ = 20992320. Its totient is φ = 1810944.

The previous prime is 6894119. The next prime is 6894127. The reversal of 6894120 is 214986.

6894120 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 (30).

It is not an unprimeable number, because it can be changed into a prime (6894127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8367 + ... + 9153.

It is an arithmetic number, because the mean of its divisors is an integer number (328005).

Almost surely, 26894120 is an apocalyptic number.

6894120 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 6894120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10496160).

6894120 is an abundant number, since it is smaller than the sum of its proper divisors (14098200).

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

6894120 is a wasteful number, since it uses less digits than its factorization.

6894120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6894120 is about 2625.6656298927. The cubic root of 6894120 is about 190.3237324886.

The spelling of 6894120 in words is "six million, eight hundred ninety-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 787 876 1095 1460 1574 1752 2190 2361 2920 3148 3935 4380 4722 6296 7870 8760 9444 11805 15740 18888 23610 31480 47220 57451 94440 114902 172353 229804 287255 344706 459608 574510 689412 861765 1149020 1378824 1723530 2298040 3447060 6894120