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11113032 = 2337292281
BaseRepresentation
bin101010011001…
…001001001000
3202220121012210
4222121021020
510321104112
61034105120
7163313340
oct52311110
922817183
1011113032
116300427
12387b1a0
1323c1378
141693d20
15e97b3c
hexa99248

11113032 has 64 divisors (see below), whose sum is σ = 32860800. Its totient is φ = 3064320.

The previous prime is 11113031. The next prime is 11113073. The reversal of 11113032 is 23031111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11112999 and 11113017.

It is not an unprimeable number, because it can be changed into a prime (11113031) 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, 3732 + ... + 6012.

It is an arithmetic number, because the mean of its divisors is an integer number (513450).

Almost surely, 211113032 is an apocalyptic number.

11113032 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 11113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16430400).

11113032 is an abundant number, since it is smaller than the sum of its proper divisors (21747768).

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

11113032 is a wasteful number, since it uses less digits than its factorization.

11113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 11113032 is about 3333.6214542146. The cubic root of 11113032 is about 223.1571750163.

Adding to 11113032 its reverse (23031111), we get a palindrome (34144143).

The spelling of 11113032 in words is "eleven million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2281 2436 4562 4872 6843 9124 13686 15967 18248 27372 31934 47901 54744 63868 66149 95802 127736 132298 191604 198447 264596 383208 396894 463043 529192 793788 926086 1389129 1587576 1852172 2778258 3704344 5556516 11113032