Search a number
-
+
5367978 = 2337111291
BaseRepresentation
bin10100011110100010101010
3101002201111000
4110132202222
52333233403
6311015430
763425040
oct24364252
911081430
105367978
113037050
12196a576
13115c425
149da390
157107a3
hex51e8aa

5367978 has 64 divisors (see below), whose sum is σ = 14883840. Its totient is φ = 1393200.

The previous prime is 5367977. The next prime is 5367979. The reversal of 5367978 is 8797635.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5367977) and next prime (5367979).

It is not an unprimeable number, because it can be changed into a prime (5367977) 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 31 ways as a sum of consecutive naturals, for example, 3513 + ... + 4803.

It is an arithmetic number, because the mean of its divisors is an integer number (232560).

Almost surely, 25367978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5367978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441920).

5367978 is an abundant number, since it is smaller than the sum of its proper divisors (9515862).

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

5367978 is a wasteful number, since it uses less digits than its factorization.

5367978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 5367978 is about 2316.8897254725. The cubic root of 5367978 is about 175.0935880365.

The spelling of 5367978 in words is "five million, three hundred sixty-seven thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1291 1386 2079 2582 3873 4158 7746 9037 11619 14201 18074 23238 27111 28402 34857 42603 54222 69714 81333 85206 99407 127809 162666 198814 243999 255618 298221 383427 487998 596442 766854 894663 1789326 2683989 5367978