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11204480 = 27574161
BaseRepresentation
bin101010101111…
…011110000000
3210002020122202
4222233132000
510332020410
61040052332
7164144060
oct52573600
923066582
1011204480
116363101
1239040a8
132423b91
1416b93a0
15eb4ca5
hexaaf780

11204480 has 128 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 3686400.

The previous prime is 11204449. The next prime is 11204483. The reversal of 11204480 is 8440211.

11204480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11204483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183650 + ... + 183710.

Almost surely, 211204480 is an apocalyptic number.

11204480 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 11204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

11204480 is an abundant number, since it is smaller than the sum of its proper divisors (20668480).

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

11204480 is an equidigital number, since it uses as much as digits as its factorization.

11204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 11204480 is about 3347.3093672381. The cubic root of 11204480 is about 223.7676161447.

Adding to 11204480 its reverse (8440211), we get a palindrome (19644691).

It can be divided in two parts, 1120 and 4480, that multiplied together give a square (5017600 = 22402).

The spelling of 11204480 in words is "eleven million, two hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 61 64 70 80 82 112 122 128 140 160 164 205 224 244 280 287 305 320 328 410 427 448 488 560 574 610 640 656 820 854 896 976 1120 1148 1220 1312 1435 1640 1708 1952 2135 2240 2296 2440 2501 2624 2870 3280 3416 3904 4270 4480 4592 4880 5002 5248 5740 6560 6832 7808 8540 9184 9760 10004 11480 12505 13120 13664 17080 17507 18368 19520 20008 22960 25010 26240 27328 34160 35014 36736 39040 40016 45920 50020 54656 68320 70028 80032 87535 91840 100040 136640 140056 160064 175070 183680 200080 273280 280112 320128 350140 400160 560224 700280 800320 1120448 1400560 1600640 2240896 2801120 5602240 11204480