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5138320 = 245115839
BaseRepresentation
bin10011100110011110010000
3100200001110011
4103212132100
52303411240
6302044304
761450345
oct23463620
910601404
105138320
11299a550
121879694
1310aba35
1497a7cc
156b76ea
hex4e6790

5138320 has 40 divisors (see below), whose sum is σ = 13034880. Its totient is φ = 1868160.

The previous prime is 5138317. The next prime is 5138321. The reversal of 5138320 is 238315.

5138320 = T249 + T250 + ... + T358.

5138320 is digitally balanced in base 5, 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 5138291 and 5138300.

It is not an unprimeable number, because it can be changed into a prime (5138321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2040 + ... + 3799.

It is an arithmetic number, because the mean of its divisors is an integer number (325872).

Almost surely, 25138320 is an apocalyptic number.

It is an amenable number.

5138320 is an abundant number, since it is smaller than the sum of its proper divisors (7896560).

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

5138320 is a wasteful number, since it uses less digits than its factorization.

5138320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5138320 is about 2266.7862713542. The cubic root of 5138320 is about 172.5600994816.

The spelling of 5138320 in words is "five million, one hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 5839 11678 23356 29195 46712 58390 64229 93424 116780 128458 233560 256916 321145 467120 513832 642290 1027664 1284580 2569160 5138320