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1363264 = 26717179
BaseRepresentation
bin101001100110101000000
32120021001021
411030311000
5322111024
645115224
714405350
oct5146500
92507037
101363264
11851271
12558b14
13389686
14276b60
151bdde4
hex14cd40

1363264 has 56 divisors (see below), whose sum is σ = 3291840. Its totient is φ = 546816.

The previous prime is 1363259. The next prime is 1363267. The reversal of 1363264 is 4623631.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7527 + ... + 7705.

21363264 is an apocalyptic number.

1363264 is a gapful number since it is divisible by the number (14) 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 1363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645920).

1363264 is an abundant number, since it is smaller than the sum of its proper divisors (1928576).

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

1363264 is a wasteful number, since it uses less digits than its factorization.

1363264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 1363264 is about 1167.5889687728. The cubic root of 1363264 is about 110.8817288540.

Adding to 1363264 its reverse (4623631), we get a palindrome (5986895).

The spelling of 1363264 in words is "one million, three hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 179 224 238 272 358 448 476 544 716 952 1088 1253 1432 1904 2506 2864 3043 3808 5012 5728 6086 7616 10024 11456 12172 20048 21301 24344 40096 42602 48688 80192 85204 97376 170408 194752 340816 681632 1363264