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111290052 = 22329833853
BaseRepresentation
bin1101010001000…
…10011011000100
321202102010020210
412220202123010
5211442240202
615013155420
72520643536
oct650423304
9252363223
10111290052
1157902955
123132bb70
131a097603
1410acd856
159b84c6c
hex6a226c4

111290052 has 48 divisors (see below), whose sum is σ = 271938240. Its totient is φ = 35376768.

The previous prime is 111290027. The next prime is 111290083. The reversal of 111290052 is 250092111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26958 + ... + 30810.

It is an arithmetic number, because the mean of its divisors is an integer number (5665380).

Almost surely, 2111290052 is an apocalyptic number.

111290052 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 111290052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135969120).

111290052 is an abundant number, since it is smaller than the sum of its proper divisors (160648188).

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

111290052 is a wasteful number, since it uses less digits than its factorization.

111290052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 111290052 is about 10549.4100308975. The cubic root of 111290052 is about 481.0077957713.

The spelling of 111290052 in words is "one hundred eleven million, two hundred ninety thousand, fifty-two".

Divisors: 1 2 3 4 6 12 29 58 83 87 116 166 174 249 332 348 498 996 2407 3853 4814 7221 7706 9628 11559 14442 15412 23118 28884 46236 111737 223474 319799 335211 446948 639598 670422 959397 1279196 1340844 1918794 3837588 9274171 18548342 27822513 37096684 55645026 111290052