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1083264 = 27371331
BaseRepresentation
bin100001000011110000000
32001000221220
410020132000
5234131024
635115040
712131130
oct4103600
92030856
101083264
1167a966
12442a80
132bc0b0
14202ac0
15165e79
hex108780

1083264 has 128 divisors (see below), whose sum is σ = 3655680. Its totient is φ = 276480.

The previous prime is 1083253. The next prime is 1083283. The reversal of 1083264 is 4623801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34929 + ... + 34959.

It is an arithmetic number, because the mean of its divisors is an integer number (28560).

21083264 is an apocalyptic number.

1083264 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 1083264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827840).

1083264 is an abundant number, since it is smaller than the sum of its proper divisors (2572416).

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

1083264 is a wasteful number, since it uses less digits than its factorization.

1083264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1083264 is about 1040.7996925442. The cubic root of 1083264 is about 102.7018113970.

The spelling of 1083264 in words is "one million, eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 32 39 42 48 52 56 62 64 78 84 91 93 96 104 112 124 128 156 168 182 186 192 208 217 224 248 273 312 336 364 372 384 403 416 434 448 496 546 624 651 672 728 744 806 832 868 896 992 1092 1209 1248 1302 1344 1456 1488 1612 1664 1736 1984 2184 2418 2496 2604 2688 2821 2912 2976 3224 3472 3968 4368 4836 4992 5208 5642 5824 5952 6448 6944 8463 8736 9672 10416 11284 11648 11904 12896 13888 16926 17472 19344 20832 22568 25792 27776 33852 34944 38688 41664 45136 51584 67704 77376 83328 90272 135408 154752 180544 270816 361088 541632 1083264