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11310940 = 2252367367
BaseRepresentation
bin101011001001…
…011101011100
3210021122200201
4223021131130
510343422230
61042233244
7165066334
oct53113534
923248621
1011310940
116426093
123955824
132460484
1417060c4
15ed65ca
hexac975c

11310940 has 48 divisors (see below), whose sum is σ = 25224192. Its totient is φ = 4251456.

The previous prime is 11310919. The next prime is 11310977. The reversal of 11310940 is 4901311.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 30637 + ... + 31003.

It is an arithmetic number, because the mean of its divisors is an integer number (525504).

Almost surely, 211310940 is an apocalyptic number.

11310940 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 11310940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12612096).

11310940 is an abundant number, since it is smaller than the sum of its proper divisors (13913252).

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

11310940 is a wasteful number, since it uses less digits than its factorization.

11310940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 11310940 is about 3363.1740959992. The cubic root of 11310940 is about 224.4740968422.

The spelling of 11310940 in words is "eleven million, three hundred ten thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 46 67 92 115 134 230 268 335 367 460 670 734 1340 1468 1541 1835 3082 3670 6164 7340 7705 8441 15410 16882 24589 30820 33764 42205 49178 84410 98356 122945 168820 245890 491780 565547 1131094 2262188 2827735 5655470 11310940