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111391680 = 26351931197
BaseRepresentation
bin1101010001110…
…11001111000000
321202121021122210
412220323033000
5212004013210
615015302120
72521546041
oct650731700
9252537583
10111391680
1157972244
123137a940
131a10194a
1410b188c8
159ba4e20
hex6a3b3c0

111391680 has 224 divisors, whose sum is σ = 386242560. Its totient is φ = 27095040.

The previous prime is 111391663. The next prime is 111391717. The reversal of 111391680 is 86193111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 565342 + ... + 565538.

Almost surely, 2111391680 is an apocalyptic number.

111391680 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 111391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193121280).

111391680 is an abundant number, since it is smaller than the sum of its proper divisors (274850880).

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

111391680 is a wasteful number, since it uses less digits than its factorization.

111391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 111391680 is about 10554.2256940052. The cubic root of 111391680 is about 481.1541670087.

The spelling of 111391680 in words is "one hundred eleven million, three hundred ninety-one thousand, six hundred eighty".