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109760112 = 243271119521
BaseRepresentation
bin1101000101011…
…00111001110000
321122112101120100
412202230321300
5211044310422
614520312400
72501642220
oct642547160
9248471510
10109760112
1156a58440
1230912700
1319980117
1410812080
1599817ac
hex68ace70

109760112 has 240 divisors, whose sum is σ = 403902720. Its totient is φ = 26956800.

The previous prime is 109760111. The next prime is 109760129. The reversal of 109760112 is 211067901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109760111) 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 47 ways as a sum of consecutive naturals, for example, 210412 + ... + 210932.

It is an arithmetic number, because the mean of its divisors is an integer number (1682928).

Almost surely, 2109760112 is an apocalyptic number.

109760112 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 109760112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201951360).

109760112 is an abundant number, since it is smaller than the sum of its proper divisors (294142608).

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

109760112 is a wasteful number, since it uses less digits than its factorization.

109760112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 109760112 is about 10476.6460281905. The cubic root of 109760112 is about 478.7934279243.

The spelling of 109760112 in words is "one hundred nine million, seven hundred sixty thousand, one hundred twelve".