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11981382 = 237283491
BaseRepresentation
bin101101101101…
…001001000110
3211112201100220
4231231021012
511031401012
61104445210
7203561100
oct55551106
924481326
1011981382
116843876
124019806
13263669a
14183c570
1510ba08c
hexb6d246

11981382 has 48 divisors (see below), whose sum is σ = 28268352. Its totient is φ = 3375120.

The previous prime is 11981363. The next prime is 11981393. The reversal of 11981382 is 28318911.

11981382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 24157 + ... + 24647.

It is an arithmetic number, because the mean of its divisors is an integer number (588924).

Almost surely, 211981382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11981382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14134176).

11981382 is an abundant number, since it is smaller than the sum of its proper divisors (16286970).

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

11981382 is a wasteful number, since it uses less digits than its factorization.

11981382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 586 counting only the distinct ones).

The product of its digits is 3456, while the sum is 33.

The square root of 11981382 is about 3461.4132951729. The cubic root of 11981382 is about 228.8243856146.

The spelling of 11981382 in words is "eleven million, nine hundred eighty-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 49 83 98 147 166 249 294 491 498 581 982 1162 1473 1743 2946 3437 3486 4067 6874 8134 10311 12201 20622 24059 24402 40753 48118 72177 81506 122259 144354 244518 285271 570542 855813 1711626 1996897 3993794 5990691 11981382