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11472032 = 25111323109
BaseRepresentation
bin101011110000…
…110010100000
3210120211200002
4223300302200
510414101112
61045515132
7166340105
oct53606240
923524602
1011472032
116526120
123a12aa8
1324b88b0
141748aac
1510191c2
hexaf0ca0

11472032 has 96 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 4561920.

The previous prime is 11472031. The next prime is 11472047. The reversal of 11472032 is 23027411.

It is a junction number, because it is equal to n+sod(n) for n = 11471995 and 11472013.

It is not an unprimeable number, because it can be changed into a prime (11472031) 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, 105194 + ... + 105302.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 211472032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11472032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

11472032 is an abundant number, since it is smaller than the sum of its proper divisors (16469728).

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

11472032 is a wasteful number, since it uses less digits than its factorization.

11472032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 11472032 is about 3387.0388246963. The cubic root of 11472032 is about 225.5347412809.

Adding to 11472032 its reverse (23027411), we get a palindrome (34499443).

The spelling of 11472032 in words is "eleven million, four hundred seventy-two thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 88 92 104 109 143 176 184 208 218 253 286 299 352 368 416 436 506 572 598 736 872 1012 1144 1196 1199 1417 1744 2024 2288 2392 2398 2507 2834 3289 3488 4048 4576 4784 4796 5014 5668 6578 8096 9568 9592 10028 11336 13156 15587 19184 20056 22672 26312 27577 31174 32591 38368 40112 45344 52624 55154 62348 65182 80224 105248 110308 124696 130364 220616 249392 260728 358501 441232 498784 521456 717002 882464 1042912 1434004 2868008 5736016 11472032