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110145432 = 23319212713
BaseRepresentation
bin1101001000010…
…10111110011000
321200020222010110
412210022332120
5211144123212
614532444320
72505135465
oct644127630
9250228113
10110145432
11571a0991
1230a796a0
1319a86617
14108b266c
159a0aa3c
hex690af98

110145432 has 48 divisors (see below), whose sum is σ = 290642040. Its totient is φ = 34780032.

The previous prime is 110145383. The next prime is 110145437. The reversal of 110145432 is 234541011.

It is a junction number, because it is equal to n+sod(n) for n = 110145399 and 110145408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110145437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2308 + ... + 15020.

Almost surely, 2110145432 is an apocalyptic number.

110145432 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 110145432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145321020).

110145432 is an abundant number, since it is smaller than the sum of its proper divisors (180496608).

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

110145432 is a wasteful number, since it uses less digits than its factorization.

110145432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12760 (or 12737 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 110145432 is about 10495.0193901679. The cubic root of 110145432 is about 479.3530520411.

Adding to 110145432 its reverse (234541011), we get a palindrome (344686443).

The spelling of 110145432 in words is "one hundred ten million, one hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 456 722 1083 1444 2166 2888 4332 8664 12713 25426 38139 50852 76278 101704 152556 241547 305112 483094 724641 966188 1449282 1932376 2898564 4589393 5797128 9178786 13768179 18357572 27536358 36715144 55072716 110145432