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112603400 = 235271323269
BaseRepresentation
bin1101011011000…
…11000100001000
321211212211211022
412231203010020
5212311302100
615101252012
72535053540
oct655430410
9254784738
10112603400
115861a668
1231864008
131a437340
1410d52320
159d43e85
hex6b63108

112603400 has 192 divisors, whose sum is σ = 337478400. Its totient is φ = 33960960.

The previous prime is 112603397. The next prime is 112603409. The reversal of 112603400 is 4306211.

It is not an unprimeable number, because it can be changed into a prime (112603409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 418466 + ... + 418734.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 2112603400 is an apocalyptic number.

112603400 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 112603400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

112603400 is an abundant number, since it is smaller than the sum of its proper divisors (224875000).

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

112603400 is a wasteful number, since it uses less digits than its factorization.

112603400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 112603400 is about 10611.4749210466. The cubic root of 112603400 is about 482.8925456843.

Adding to 112603400 its reverse (4306211), we get a palindrome (116909611).

The spelling of 112603400 in words is "one hundred twelve million, six hundred three thousand, four hundred".