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110239920 = 24335723317
BaseRepresentation
bin1101001001000…
…10000010110000
321200102202202000
412210202002300
5211210134140
614534454000
72506011120
oct644420260
9250382660
10110239920
115725597a
1230b04300
1319aba62b
14108d8c80
159a28a30
hex69220b0

110239920 has 320 divisors, whose sum is σ = 454256640. Its totient is φ = 24026112.

The previous prime is 110239903. The next prime is 110239931. The reversal of 110239920 is 29932011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347602 + ... + 347918.

It is an arithmetic number, because the mean of its divisors is an integer number (1419552).

Almost surely, 2110239920 is an apocalyptic number.

110239920 is a gapful number since it is divisible by the number (10) 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 110239920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227128320).

110239920 is an abundant number, since it is smaller than the sum of its proper divisors (344016720).

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

110239920 is a wasteful number, since it uses less digits than its factorization.

110239920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 110239920 is about 10499.5199890281. The cubic root of 110239920 is about 479.4900834942.

The spelling of 110239920 in words is "one hundred ten million, two hundred thirty-nine thousand, nine hundred twenty".