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11431280 = 2457137149
BaseRepresentation
bin101011100110…
…110101110000
3210111202202202
4223212311300
510411300110
61045002332
7166110230
oct53466560
923452682
1011431280
1164a8543
1239b33a8
1324a3193
141737cc0
15100c0a5
hexae6d70

11431280 has 80 divisors (see below), whose sum is σ = 30801600. Its totient is φ = 3864576.

The previous prime is 11431279. The next prime is 11431283. The reversal of 11431280 is 8213411.

It is a tau number, because it is divible by the number of its divisors (80).

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 (11431283) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 76646 + ... + 76794.

It is an arithmetic number, because the mean of its divisors is an integer number (385020).

Almost surely, 211431280 is an apocalyptic number.

11431280 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 11431280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400800).

11431280 is an abundant number, since it is smaller than the sum of its proper divisors (19370320).

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

11431280 is a wasteful number, since it uses less digits than its factorization.

11431280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 11431280 is about 3381.0175982979. The cubic root of 11431280 is about 225.2673693996.

Adding to 11431280 its reverse (8213411), we get a palindrome (19644691).

It can be divided in two parts, 11431 and 280, that added together give a palindrome (11711).

The spelling of 11431280 in words is "eleven million, four hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 137 140 149 274 280 298 548 560 596 685 745 959 1043 1096 1192 1370 1490 1918 2086 2192 2384 2740 2980 3836 4172 4795 5215 5480 5960 7672 8344 9590 10430 10960 11920 15344 16688 19180 20413 20860 38360 40826 41720 76720 81652 83440 102065 142891 163304 204130 285782 326608 408260 571564 714455 816520 1143128 1428910 1633040 2286256 2857820 5715640 11431280