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11480280 = 2335779173
BaseRepresentation
bin101011110010…
…110011011000
3210121020222120
4223302303120
510414332110
61050021240
7166403130
oct53626330
923536876
1011480280
116531339
123a17820
1324bc586
14174bac0
15101b870
hexaf2cd8

11480280 has 128 divisors (see below), whose sum is σ = 40089600. Its totient is φ = 2575872.

The previous prime is 11480251. The next prime is 11480291. The reversal of 11480280 is 8208411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11480280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66274 + ... + 66446.

It is an arithmetic number, because the mean of its divisors is an integer number (313200).

Almost surely, 211480280 is an apocalyptic number.

11480280 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 11480280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20044800).

11480280 is an abundant number, since it is smaller than the sum of its proper divisors (28609320).

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

11480280 is a wasteful number, since it uses less digits than its factorization.

11480280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 11480280 is about 3388.2561886611. The cubic root of 11480280 is about 225.5887789298.

Adding to 11480280 its reverse (8208411), we get a palindrome (19688691).

The spelling of 11480280 in words is "eleven million, four hundred eighty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 79 84 105 120 140 158 168 173 210 237 280 316 346 395 420 474 519 553 632 692 790 840 865 948 1038 1106 1185 1211 1384 1580 1659 1730 1896 2076 2212 2370 2422 2595 2765 3160 3318 3460 3633 4152 4424 4740 4844 5190 5530 6055 6636 6920 7266 8295 9480 9688 10380 11060 12110 13272 13667 14532 16590 18165 20760 22120 24220 27334 29064 33180 36330 41001 48440 54668 66360 68335 72660 82002 95669 109336 136670 145320 164004 191338 205005 273340 287007 328008 382676 410010 478345 546680 574014 765352 820020 956690 1148028 1435035 1640040 1913380 2296056 2870070 3826760 5740140 11480280