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11229984 = 253238993
BaseRepresentation
bin101010110101…
…101100100000
3210010112122100
4222311230200
510333324414
61040410400
7164311323
oct52655440
923115570
1011229984
116380287
123916a00
13243267c
1416c47ba
15ebc609
hexab5b20

11229984 has 36 divisors (see below), whose sum is σ = 31936086. Its totient is φ = 3743232.

The previous prime is 11229973. The next prime is 11230031. The reversal of 11229984 is 48992211.

It can be written as a sum of positive squares in only one way, i.e., 10419984 + 810000 = 3228^2 + 900^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×112299842 = 252225081280512, which contains 22 as substring.

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

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

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 5 ways as a sum of consecutive naturals, for example, 19209 + ... + 19784.

Almost surely, 211229984 is an apocalyptic number.

It is an amenable number.

11229984 is an abundant number, since it is smaller than the sum of its proper divisors (20706102).

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

11229984 is a wasteful number, since it uses less digits than its factorization.

11229984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39009 (or 38998 counting only the distinct ones).

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

The square root of 11229984 is about 3351.1168287602. The cubic root of 11229984 is about 223.9372698493.

The spelling of 11229984 in words is "eleven million, two hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 38993 77986 116979 155972 233958 311944 350937 467916 623888 701874 935832 1247776 1403748 1871664 2807496 3743328 5614992 11229984