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6801144 = 233740483
BaseRepresentation
bin11001111100011011111000
3110210112102020
4121330123320
53220114034
6401434440
7111544260
oct31743370
913715366
106801144
113925889
12233ba20
13154185c
14c907a0
158e5249
hex67c6f8

6801144 has 32 divisors (see below), whose sum is σ = 19432320. Its totient is φ = 1943136.

The previous prime is 6801143. The next prime is 6801187. The reversal of 6801144 is 4411086.

6801144 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6801143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20074 + ... + 20409.

It is an arithmetic number, because the mean of its divisors is an integer number (607260).

Almost surely, 26801144 is an apocalyptic number.

It is an amenable number.

6801144 is an abundant number, since it is smaller than the sum of its proper divisors (12631176).

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

6801144 is a wasteful number, since it uses less digits than its factorization.

6801144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40499 (or 40495 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 6801144 is about 2607.9003048430. The cubic root of 6801144 is about 189.4642711048.

The spelling of 6801144 in words is "six million, eight hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 40483 80966 121449 161932 242898 283381 323864 485796 566762 850143 971592 1133524 1700286 2267048 3400572 6801144