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112435380 = 22325679323
BaseRepresentation
bin1101011001110…
…10000010110100
321211120022100100
412230322002310
5212240413010
615053514100
72533453641
oct654720264
9254508310
10112435380
1158515402
12317a2930
131a3a8a15
1410d0adc8
159d0e2c0
hex6b3a0b4

112435380 has 72 divisors (see below), whose sum is σ = 346181472. Its totient is φ = 29532096.

The previous prime is 112435343. The next prime is 112435381. The reversal of 112435380 is 83534211.

It is a happy number.

112435380 is a `hidden beast` number, since 1 + 124 + 3 + 538 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112435381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7399 + ... + 16721.

It is an arithmetic number, because the mean of its divisors is an integer number (4808076).

Almost surely, 2112435380 is an apocalyptic number.

112435380 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 112435380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173090736).

112435380 is an abundant number, since it is smaller than the sum of its proper divisors (233746092).

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

112435380 is a wasteful number, since it uses less digits than its factorization.

112435380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9405 (or 9400 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 112435380 is about 10603.5550642226. Note that the first 3 decimals coincide. The cubic root of 112435380 is about 482.6522450829.

Adding to 112435380 its reverse (83534211), we get a palindrome (195969591).

The spelling of 112435380 in words is "one hundred twelve million, four hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 9323 12060 18646 27969 37292 46615 55938 83907 93230 111876 139845 167814 186460 279690 335628 419535 559380 624641 839070 1249282 1678140 1873923 2498564 3123205 3747846 5621769 6246410 7495692 9369615 11243538 12492820 18739230 22487076 28108845 37478460 56217690 112435380