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112428064 = 257501911
BaseRepresentation
bin1101011001110…
…00010000100000
321211112221022101
412230320100200
5212240144224
615053420144
72533423420
oct654702040
9254487271
10112428064
115850a961
123179a654
131a3a55a8
1410d08480
159d0c044
hex6b38420

112428064 has 24 divisors (see below), whose sum is σ = 252963648. Its totient is φ = 48183360.

The previous prime is 112428061. The next prime is 112428067. The reversal of 112428064 is 460824211.

It is an interprime number because it is at equal distance from previous prime (112428061) and next prime (112428067).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (112428061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250732 + ... + 251179.

It is an arithmetic number, because the mean of its divisors is an integer number (10540152).

Almost surely, 2112428064 is an apocalyptic number.

112428064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112428064 is an abundant number, since it is smaller than the sum of its proper divisors (140535584).

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

112428064 is an equidigital number, since it uses as much as digits as its factorization.

112428064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501928 (or 501920 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 112428064 is about 10603.2100799711. The cubic root of 112428064 is about 482.6417763722.

It can be divided in two parts, 11242 and 8064, that added together give a triangular number (19306 = T196).

The spelling of 112428064 in words is "one hundred twelve million, four hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 501911 1003822 2007644 3513377 4015288 7026754 8030576 14053508 16061152 28107016 56214032 112428064