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111434064 = 2437418089
BaseRepresentation
bin1101010010001…
…01100101010000
321202200102210120
412221011211100
5212011342224
615020230240
72522113440
oct651054520
9252612716
10111434064
11579a1075
123139b380
131a118021
1410b2a120
159bb2779
hex6a45950

111434064 has 80 divisors (see below), whose sum is σ = 337061760. Its totient is φ = 31057920.

The previous prime is 111434051. The next prime is 111434077. The reversal of 111434064 is 460434111.

It is an interprime number because it is at equal distance from previous prime (111434051) and next prime (111434077).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9732 + ... + 17820.

It is an arithmetic number, because the mean of its divisors is an integer number (4213272).

Almost surely, 2111434064 is an apocalyptic number.

111434064 is a gapful number since it is divisible by the number (14) 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 111434064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168530880).

111434064 is an abundant number, since it is smaller than the sum of its proper divisors (225627696).

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

111434064 is a wasteful number, since it uses less digits than its factorization.

111434064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8148 (or 8142 counting only the distinct ones).

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

The square root of 111434064 is about 10556.2334191699. The cubic root of 111434064 is about 481.2151848880.

Adding to 111434064 its reverse (460434111), we get a palindrome (571868175).

The spelling of 111434064 in words is "one hundred eleven million, four hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 8089 13776 16178 24267 32356 48534 56623 64712 97068 113246 129424 169869 194136 226492 331649 339738 388272 452984 663298 679476 905968 994947 1326596 1358952 1989894 2321543 2653192 2717904 3979788 4643086 5306384 6964629 7959576 9286172 13929258 15919152 18572344 27858516 37144688 55717032 111434064