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1367968 = 25731197
BaseRepresentation
bin101001101111110100000
32120111111111
411031332200
5322233333
645153104
714425150
oct5157640
92514444
101367968
11854858
1255b794
1338b864
14278760
151c04cd
hex14dfa0

1367968 has 48 divisors (see below), whose sum is σ = 3193344. Its totient is φ = 564480.

The previous prime is 1367963. The next prime is 1367987. The reversal of 1367968 is 8697631.

It is a self number, because there is not a number n which added to its sum of digits gives 1367968.

It is not an unprimeable number, because it can be changed into a prime (1367963) 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, 6846 + ... + 7042.

It is an arithmetic number, because the mean of its divisors is an integer number (66528).

21367968 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 1367968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596672).

1367968 is an abundant number, since it is smaller than the sum of its proper divisors (1825376).

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

1367968 is a wasteful number, since it uses less digits than its factorization.

1367968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The square root of 1367968 is about 1169.6016415857. The cubic root of 1367968 is about 111.0091164766.

The spelling of 1367968 in words is "one million, three hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 197 217 224 248 394 434 496 788 868 992 1379 1576 1736 2758 3152 3472 5516 6107 6304 6944 11032 12214 22064 24428 42749 44128 48856 85498 97712 170996 195424 341992 683984 1367968