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111682368 = 2633721319
BaseRepresentation
bin1101010100000…
…10001101000000
321210011001102000
412222002031000
5212042313433
615025424000
72524166400
oct652021500
9253131360
10111682368
1158050686
123149b000
131a1a4055
1410b92800
159c11113
hex6a82340

111682368 has 168 divisors, whose sum is σ = 382219200. Its totient is φ = 31885056.

The previous prime is 111682357. The next prime is 111682409. The reversal of 111682368 is 863286111.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84013 + ... + 85331.

Almost surely, 2111682368 is an apocalyptic number.

111682368 is a gapful number since it is divisible by the number (18) 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 111682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191109600).

111682368 is an abundant number, since it is smaller than the sum of its proper divisors (270536832).

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

111682368 is a wasteful number, since it uses less digits than its factorization.

111682368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1331 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 111682368 is about 10567.9878879567. The cubic root of 111682368 is about 481.5723438238.

The spelling of 111682368 in words is "one hundred eleven million, six hundred eighty-two thousand, three hundred sixty-eight".