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11270688 = 2531113821
BaseRepresentation
bin101010111111…
…101000100000
3210012121110220
4222333220200
510341130223
61041323040
7164541102
oct52775040
923177426
1011270688
1163a8920
123936480
132448060
1416d5572
15ec96e3
hexabfa20

11270688 has 96 divisors (see below), whose sum is σ = 34800192. Its totient is φ = 3148800.

The previous prime is 11270671. The next prime is 11270717. The reversal of 11270688 is 88607211.

It is a happy number.

11270688 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 13318 + ... + 14138.

It is an arithmetic number, because the mean of its divisors is an integer number (362502).

Almost surely, 211270688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11270688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400096).

11270688 is an abundant number, since it is smaller than the sum of its proper divisors (23529504).

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

11270688 is a wasteful number, since it uses less digits than its factorization.

11270688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 11270688 is about 3357.1845346957. The cubic root of 11270688 is about 224.2075032974.

Adding to 11270688 its reverse (88607211), we get a palindrome (99877899).

The spelling of 11270688 in words is "eleven million, two hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 821 858 1056 1144 1248 1642 1716 2288 2463 3284 3432 4576 4926 6568 6864 9031 9852 10673 13136 13728 18062 19704 21346 26272 27093 32019 36124 39408 42692 54186 64038 72248 78816 85384 108372 117403 128076 144496 170768 216744 234806 256152 288992 341536 352209 433488 469612 512304 704418 866976 939224 1024608 1408836 1878448 2817672 3756896 5635344 11270688