Search a number
-
+
6180768 = 2532111951
BaseRepresentation
bin10111100100111110100000
3102122000102100
4113210332200
53040241033
6340250400
7103351506
oct27447640
912560370
106180768
113541780
1220a0a00
131385379
14b6c676
15821513
hex5e4fa0

6180768 has 72 divisors (see below), whose sum is σ = 19184256. Its totient is φ = 1872000.

The previous prime is 6180751. The next prime is 6180773. The reversal of 6180768 is 8670816.

6180768 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2193 + ... + 4143.

It is an arithmetic number, because the mean of its divisors is an integer number (266448).

Almost surely, 26180768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6180768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9592128).

6180768 is an abundant number, since it is smaller than the sum of its proper divisors (13003488).

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

6180768 is a wasteful number, since it uses less digits than its factorization.

6180768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 6180768 is about 2486.1150415860. The cubic root of 6180768 is about 183.5189070446.

The spelling of 6180768 in words is "six million, one hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 1951 3168 3902 5853 7804 11706 15608 17559 21461 23412 31216 35118 42922 46824 62432 64383 70236 85844 93648 128766 140472 171688 187296 193149 257532 280944 343376 386298 515064 561888 686752 772596 1030128 1545192 2060256 3090384 6180768