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111426432 = 27313217101
BaseRepresentation
bin1101010010000…
…11101110000000
321202200001022220
412221003232000
5212011121212
615020131040
72522052255
oct651035600
9252601286
10111426432
1157996367
1231396a80
131a114700
1410b2742c
159bb038c
hex6a43b80

111426432 has 192 divisors, whose sum is σ = 342707760. Its totient is φ = 31948800.

The previous prime is 111426391. The next prime is 111426433. The reversal of 111426432 is 234624111.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111426433) 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 23 ways as a sum of consecutive naturals, for example, 1103182 + ... + 1103282.

Almost surely, 2111426432 is an apocalyptic number.

111426432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

111426432 is the 8619-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171353880).

111426432 is an abundant number, since it is smaller than the sum of its proper divisors (231281328).

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

111426432 is a wasteful number, since it uses less digits than its factorization.

111426432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 111426432 is about 10555.8719204052. The cubic root of 111426432 is about 481.2041986658.

The spelling of 111426432 in words is "one hundred eleven million, four hundred twenty-six thousand, four hundred thirty-two".