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11270340 = 22365773
BaseRepresentation
bin101010111111…
…100011000100
3210012121000000
4222333203010
510341122330
61041321300
7164540064
oct52774304
923177000
1011270340
1163a8634
123936230
132447b53
1416d53a4
15ec9560
hexabf8c4

11270340 has 84 divisors (see below), whose sum is σ = 35531244. Its totient is φ = 3001536.

The previous prime is 11270317. The next prime is 11270351. The reversal of 11270340 is 4307211.

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 9144576 = 1458^2 + 3024^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 27 ways as a sum of consecutive naturals, for example, 14194 + ... + 14966.

It is an arithmetic number, because the mean of its divisors is an integer number (422991).

Almost surely, 211270340 is an apocalyptic number.

11270340 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 11270340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17765622).

11270340 is an abundant number, since it is smaller than the sum of its proper divisors (24260904).

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

11270340 is an equidigital number, since it uses as much as digits as its factorization.

11270340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11270340 is about 3357.1327051518. The cubic root of 11270340 is about 224.2051956886.

Adding to 11270340 its reverse (4307211), we get a palindrome (15577551).

The spelling of 11270340 in words is "eleven million, two hundred seventy thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 773 810 972 1215 1458 1546 1620 2319 2430 2916 3092 3645 3865 4638 4860 6957 7290 7730 9276 11595 13914 14580 15460 20871 23190 27828 34785 41742 46380 62613 69570 83484 104355 125226 139140 187839 208710 250452 313065 375678 417420 563517 626130 751356 939195 1127034 1252260 1878390 2254068 2817585 3756780 5635170 11270340