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11640438 = 2322331907
BaseRepresentation
bin101100011001…
…111001110110
3210220101200100
4230121321312
510434443223
61053254530
7200641065
oct54317166
923811610
1011640438
1166306a7
123a94446
132547444
1417901dc
15104e043
hexb19e76

11640438 has 48 divisors (see below), whose sum is σ = 27196416. Its totient is φ = 3587760.

The previous prime is 11640403. The next prime is 11640457. The reversal of 11640438 is 83404611.

11640438 is a `hidden beast` number, since 11 + 640 + 4 + 3 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12381 + ... + 13287.

It is an arithmetic number, because the mean of its divisors is an integer number (566592).

Almost surely, 211640438 is an apocalyptic number.

11640438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11640438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13598208).

11640438 is an abundant number, since it is smaller than the sum of its proper divisors (15555978).

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

11640438 is a wasteful number, since it uses less digits than its factorization.

11640438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11640438 is about 3411.8086112794. The cubic root of 11640438 is about 226.6329789420.

The spelling of 11640438 in words is "eleven million, six hundred forty thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 414 558 713 907 1426 1814 2139 2721 4278 5442 6417 8163 12834 16326 20861 28117 41722 56234 62583 84351 125166 168702 187749 253053 375498 506106 646691 1293382 1940073 3880146 5820219 11640438