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11923830 = 2325192367
BaseRepresentation
bin101101011111…
…000101110110
3211102210102100
4231133011312
511023030310
61103322530
7203231232
oct55370566
924383370
1011923830
116804606
123bb0446
132616429
1418255c2
1510a7ec0
hexb5f176

11923830 has 72 divisors (see below), whose sum is σ = 32808672. Its totient is φ = 3004128.

The previous prime is 11923829. The next prime is 11923831. The reversal of 11923830 is 3832911.

It is an interprime number because it is at equal distance from previous prime (11923829) and next prime (11923831).

It is a junction number, because it is equal to n+sod(n) for n = 11923794 and 11923803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11923831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32307 + ... + 32673.

It is an arithmetic number, because the mean of its divisors is an integer number (455676).

Almost surely, 211923830 is an apocalyptic number.

11923830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11923830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16404336).

11923830 is an abundant number, since it is smaller than the sum of its proper divisors (20884842).

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

11923830 is a wasteful number, since it uses less digits than its factorization.

11923830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 11923830 is about 3453.0899206363. The cubic root of 11923830 is about 228.4574150507.

The spelling of 11923830 in words is "eleven million, nine hundred twenty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 361 367 570 722 734 855 1083 1101 1710 1805 1835 2166 2202 3249 3303 3610 3670 5415 5505 6498 6606 6973 10830 11010 13946 16245 16515 20919 32490 33030 34865 41838 62757 69730 104595 125514 132487 209190 264974 313785 397461 627570 662435 794922 1192383 1324870 1987305 2384766 3974610 5961915 11923830