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112698432 = 263372113
BaseRepresentation
bin1101011011110…
…10010001000000
321212001200012000
412231322101000
5212322322212
615103304000
72535630600
oct655722100
9255050160
10112698432
1158685000
12318ab000
131a46b682
1410d78c00
159d621dc
hex6b7a440

112698432 has 336 divisors, whose sum is σ = 423915840. Its totient is φ = 29272320.

The previous prime is 112698431. The next prime is 112698461. The reversal of 112698432 is 234896211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112698431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10245307 + ... + 10245317.

Almost surely, 2112698432 is an apocalyptic number.

112698432 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 112698432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211957920).

112698432 is an abundant number, since it is smaller than the sum of its proper divisors (311217408).

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

112698432 is an equidigital number, since it uses as much as digits as its factorization.

112698432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 112698432 is about 10615.9517708023. The cubic root of 112698432 is about 483.0283537230.

It can be divided in two parts, 11269 and 8432, that added together give a triangular number (19701 = T198).

The spelling of 112698432 in words is "one hundred twelve million, six hundred ninety-eight thousand, four hundred thirty-two".