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11868444 = 223475233
BaseRepresentation
bin101101010001…
…100100011100
3211022222110000
4231101210130
511014242234
61102214300
7202610610
oct55214434
924288400
1011868444
116776a35
123b84390
1325c7163
14180d340
151096899
hexb5191c

11868444 has 60 divisors (see below), whose sum is σ = 35465584. Its totient is φ = 3390336.

The previous prime is 11868433. The next prime is 11868463. The reversal of 11868444 is 44486811.

It is a super-2 number, since 2×118684442 = 281719925962272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 11868399 and 11868408.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 349 + ... + 4884.

Almost surely, 211868444 is an apocalyptic number.

11868444 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 11868444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17732792).

11868444 is an abundant number, since it is smaller than the sum of its proper divisors (23597140).

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

11868444 is a wasteful number, since it uses less digits than its factorization.

11868444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256 (or 5245 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 11868444 is about 3445.0608122354. The cubic root of 11868444 is about 228.1031389322.

The spelling of 11868444 in words is "eleven million, eight hundred sixty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 5233 10466 15699 20932 31398 36631 47097 62796 73262 94194 109893 141291 146524 188388 219786 282582 329679 423873 439572 565164 659358 847746 989037 1318716 1695492 1978074 2967111 3956148 5934222 11868444