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11806398 = 235171429
BaseRepresentation
bin101101000010…
…011010111110
3211012211100000
4231002122332
511010301043
61101015130
7202231662
oct55023276
924184300
1011806398
11673435a
123b544a6
1325a4b46
1417d48a2
1510832d3
hexb426be

11806398 has 48 divisors (see below), whose sum is σ = 28108080. Its totient is φ = 3701376.

The previous prime is 11806397. The next prime is 11806409. The reversal of 11806398 is 89360811.

11806398 is a `hidden beast` number, since 1 + 18 + 0 + 639 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11806397) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7548 + ... + 8976.

It is an arithmetic number, because the mean of its divisors is an integer number (585585).

Almost surely, 211806398 is an apocalyptic number.

11806398 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 11806398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054040).

11806398 is an abundant number, since it is smaller than the sum of its proper divisors (16301682).

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

11806398 is a wasteful number, since it uses less digits than its factorization.

11806398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11806398 is about 3436.0439461683. The cubic root of 11806398 is about 227.7049507586.

The spelling of 11806398 in words is "eleven million, eight hundred six thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 1429 2754 2858 4131 4287 8262 8574 12861 24293 25722 38583 48586 72879 77166 115749 145758 218637 231498 347247 437274 655911 694494 1311822 1967733 3935466 5903199 11806398