Search a number
-
+
1359312 = 24328319
BaseRepresentation
bin101001011110111010000
32120001121220
411023313100
5321444222
645045040
714361003
oct5136720
92501556
101359312
118492a9
12556780
13387936
1427553a
151bcb5c
hex14bdd0

1359312 has 20 divisors (see below), whose sum is σ = 3511680. Its totient is φ = 453088.

The previous prime is 1359311. The next prime is 1359313. The reversal of 1359312 is 2139531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1359311) and next prime (1359313).

It is a super-2 number, since 2×13593122 = 3695458226688, which contains 22 as substring.

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 (1359311) 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 3 ways as a sum of consecutive naturals, for example, 14112 + ... + 14207.

It is an arithmetic number, because the mean of its divisors is an integer number (175584).

21359312 is an apocalyptic number.

1359312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1359312 is an abundant number, since it is smaller than the sum of its proper divisors (2152368).

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

1359312 is a wasteful number, since it uses less digits than its factorization.

1359312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28330 (or 28324 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 1359312 is about 1165.8953640872. The cubic root of 1359312 is about 110.7744792148.

The spelling of 1359312 in words is "one million, three hundred fifty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 28319 56638 84957 113276 169914 226552 339828 453104 679656 1359312