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111432340 = 225191272309
BaseRepresentation
bin1101010010001…
…01001010010100
321202200100102201
412221011022110
5212011313330
615020214244
72522105425
oct651051224
9252610381
10111432340
115799a848
123139a384
131a1172c6
1410b2964c
159bb1eca
hex6a45294

111432340 has 48 divisors (see below), whose sum is σ = 248371200. Its totient is φ = 41876352.

The previous prime is 111432329. The next prime is 111432353. The reversal of 111432340 is 43234111.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 15 ways as a sum of consecutive naturals, for example, 47106 + ... + 49414.

It is an arithmetic number, because the mean of its divisors is an integer number (5174400).

Almost surely, 2111432340 is an apocalyptic number.

111432340 is a gapful number since it is divisible by the number (10) 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 111432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124185600).

111432340 is an abundant number, since it is smaller than the sum of its proper divisors (136938860).

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

111432340 is a wasteful number, since it uses less digits than its factorization.

111432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 111432340 is about 10556.1517609402. The cubic root of 111432340 is about 481.2127032433.

Adding to 111432340 its reverse (43234111), we get a palindrome (154666451).

The spelling of 111432340 in words is "one hundred eleven million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 127 190 254 380 508 635 1270 2309 2413 2540 4618 4826 9236 9652 11545 12065 23090 24130 43871 46180 48260 87742 175484 219355 293243 438710 586486 877420 1172972 1466215 2932430 5571617 5864860 11143234 22286468 27858085 55716170 111432340