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11661384 = 2337411693
BaseRepresentation
bin101100011111…
…000001001000
3210221110102010
4230133001020
510441131014
61053535520
7201056130
oct54370110
923843363
1011661384
116645409
123aa45a0
132553b37
141797ac0
151055359
hexb1f048

11661384 has 64 divisors (see below), whose sum is σ = 34151040. Its totient is φ = 3248640.

The previous prime is 11661379. The next prime is 11661407. The reversal of 11661384 is 48316611.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6042 + ... + 7734.

It is an arithmetic number, because the mean of its divisors is an integer number (533610).

Almost surely, 211661384 is an apocalyptic number.

11661384 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 11661384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075520).

11661384 is an abundant number, since it is smaller than the sum of its proper divisors (22489656).

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

11661384 is a wasteful number, since it uses less digits than its factorization.

11661384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1746 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 11661384 is about 3414.8768645443. The cubic root of 11661384 is about 226.7688332203.

Adding to 11661384 its reverse (48316611), we get a palindrome (59977995).

The spelling of 11661384 in words is "eleven million, six hundred sixty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1693 1722 2296 3386 3444 5079 6772 6888 10158 11851 13544 20316 23702 35553 40632 47404 69413 71106 94808 138826 142212 208239 277652 284424 416478 485891 555304 832956 971782 1457673 1665912 1943564 2915346 3887128 5830692 11661384