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11309868 = 223467521
BaseRepresentation
bin101011001001…
…001100101100
3210021121020000
4223021030230
510343403433
61042224300
7165063243
oct53111454
923247200
1011309868
1164252a9
123955090
13245cb3b
14170595a
15ed6113
hexac932c

11309868 has 60 divisors (see below), whose sum is σ = 30065112. Its totient is φ = 3706560.

The previous prime is 11309863. The next prime is 11309869. The reversal of 11309868 is 86890311.

It is a super-2 number, since 2×113098682 = 255826228354848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11309863) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 21448 + ... + 21968.

Almost surely, 211309868 is an apocalyptic number.

11309868 is a gapful number since it is divisible by the number (18) 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 11309868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032556).

11309868 is an abundant number, since it is smaller than the sum of its proper divisors (18755244).

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

11309868 is a wasteful number, since it uses less digits than its factorization.

11309868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 593 counting only the distinct ones).

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

The square root of 11309868 is about 3363.0147189687. The cubic root of 11309868 is about 224.4670050699.

The spelling of 11309868 in words is "eleven million, three hundred nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 268 324 402 521 603 804 1042 1206 1563 1809 2084 2412 3126 3618 4689 5427 6252 7236 9378 10854 14067 18756 21708 28134 34907 42201 56268 69814 84402 104721 139628 168804 209442 314163 418884 628326 942489 1256652 1884978 2827467 3769956 5654934 11309868