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11383632 = 2433132027
BaseRepresentation
bin101011011011…
…001101010000
3210102100102000
4223123031100
510403234012
61043554000
7165521301
oct53331520
923370360
1011383632
116475767
12398b900
1324875a0
1417247a8
15eecddc
hexadb350

11383632 has 80 divisors (see below), whose sum is σ = 35206080. Its totient is φ = 3500928.

The previous prime is 11383627. The next prime is 11383639. The reversal of 11383632 is 23638311.

It is a happy number.

11383632 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113836322 = 259174155022848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 11383596 and 11383605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11383639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4603 + ... + 6629.

It is an arithmetic number, because the mean of its divisors is an integer number (440076).

Almost surely, 211383632 is an apocalyptic number.

11383632 is a gapful number since it is divisible by the number (12) 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 11383632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603040).

11383632 is an abundant number, since it is smaller than the sum of its proper divisors (23822448).

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

11383632 is a wasteful number, since it uses less digits than its factorization.

11383632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2045 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 11383632 is about 3373.9638409444. The cubic root of 11383632 is about 224.9539461297.

The spelling of 11383632 in words is "eleven million, three hundred eighty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2027 2808 4054 5616 6081 8108 12162 16216 18243 24324 26351 32432 36486 48648 52702 54729 72972 79053 97296 105404 109458 145944 158106 210808 218916 237159 291888 316212 421616 437832 474318 632424 711477 875664 948636 1264848 1422954 1897272 2845908 3794544 5691816 11383632