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11432112 = 2433741157
BaseRepresentation
bin101011100111…
…000010110000
3210111210220120
4223213002300
510411311422
61045010240
7166112526
oct53470260
923453816
1011432112
1164a912a
1239b3980
1324a3683
141738316
15100c45c
hexae70b0

11432112 has 80 divisors (see below), whose sum is σ = 31268832. Its totient is φ = 3594240.

The previous prime is 11432093. The next prime is 11432189. The reversal of 11432112 is 21123411.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11432091 and 11432100.

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 15 ways as a sum of consecutive naturals, for example, 72738 + ... + 72894.

Almost surely, 211432112 is an apocalyptic number.

11432112 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 11432112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15634416).

11432112 is an abundant number, since it is smaller than the sum of its proper divisors (19836720).

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

11432112 is a wasteful number, since it uses less digits than its factorization.

11432112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 11432112 is about 3381.1406359393. The cubic root of 11432112 is about 225.2728344600.

Adding to 11432112 its reverse (21123411), we get a palindrome (32555523).

The spelling of 11432112 in words is "eleven million, four hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 41 48 74 82 111 123 148 157 164 222 246 296 314 328 444 471 492 592 628 656 888 942 984 1256 1517 1776 1884 1968 2512 3034 3768 4551 5809 6068 6437 7536 9102 11618 12136 12874 17427 18204 19311 23236 24272 25748 34854 36408 38622 46472 51496 69708 72816 77244 92944 102992 139416 154488 238169 278832 308976 476338 714507 952676 1429014 1905352 2858028 3810704 5716056 11432112