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1364040 = 23345421
BaseRepresentation
bin101001101000001001000
32120022010000
411031001020
5322122130
645123000
714410536
oct5150110
92508100
101364040
11851907
12559460
13389b32
14277156
151be260
hex14d048

1364040 has 80 divisors (see below), whose sum is σ = 4595580. Its totient is φ = 362880.

The previous prime is 1364039. The next prime is 1364047. The reversal of 1364040 is 404631.

It can be written as a sum of positive squares in 2 ways, for example, as 1127844 + 236196 = 1062^2 + 486^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1364047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3030 + ... + 3450.

21364040 is an apocalyptic number.

1364040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297790).

1364040 is an abundant number, since it is smaller than the sum of its proper divisors (3231540).

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

1364040 is a wasteful number, since it uses less digits than its factorization.

1364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1364040 is about 1167.9212302206. The cubic root of 1364040 is about 110.9027636402.

Adding to 1364040 its reverse (404631), we get a palindrome (1768671).

The spelling of 1364040 in words is "one million, three hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 421 540 648 810 842 1080 1263 1620 1684 2105 2526 3240 3368 3789 4210 5052 6315 7578 8420 10104 11367 12630 15156 16840 18945 22734 25260 30312 34101 37890 45468 50520 56835 68202 75780 90936 113670 136404 151560 170505 227340 272808 341010 454680 682020 1364040