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11981844 = 22367587
BaseRepresentation
bin101101101101…
…010000010100
3211112202000000
4231231100110
511031404334
61104451300
7203562330
oct55552024
924482000
1011981844
116844156
124019b30
132636964
14183c7c0
1510ba299
hexb6d414

11981844 has 84 divisors (see below), whose sum is σ = 35990304. Its totient is φ = 3417552.

The previous prime is 11981839. The next prime is 11981863. The reversal of 11981844 is 44818911.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11981799 and 11981808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20119 + ... + 20705.

It is an arithmetic number, because the mean of its divisors is an integer number (428456).

Almost surely, 211981844 is an apocalyptic number.

11981844 is a gapful number since it is divisible by the number (14) 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 11981844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17995152).

11981844 is an abundant number, since it is smaller than the sum of its proper divisors (24008460).

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

11981844 is an equidigital number, since it uses as much as digits as its factorization.

11981844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 599 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 11981844 is about 3461.4800302761. The cubic root of 11981844 is about 228.8273267196.

The spelling of 11981844 in words is "eleven million, nine hundred eighty-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 587 729 756 972 1134 1174 1458 1701 1761 2268 2348 2916 3402 3522 4109 5103 5283 6804 7044 8218 10206 10566 12327 15849 16436 20412 21132 24654 31698 36981 47547 49308 63396 73962 95094 110943 142641 147924 190188 221886 285282 332829 427923 443772 570564 665658 855846 998487 1331316 1711692 1996974 2995461 3993948 5990922 11981844