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111475072 = 272959509
BaseRepresentation
bin1101010010011…
…11100110000000
321202202112001101
412221033212000
5212014200242
615021144144
72522344132
oct651174600
9252675041
10111475072
1157a19965
12313bb054
131a1308a7
1410b3b052
159bbe9b7
hex6a4f980

111475072 has 64 divisors (see below), whose sum is σ = 234090000. Its totient is φ = 52799488.

The previous prime is 111475051. The next prime is 111475079. The reversal of 111475072 is 270574111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 111475072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111475079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218754 + ... + 219262.

Almost surely, 2111475072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117045000).

111475072 is an abundant number, since it is smaller than the sum of its proper divisors (122614928).

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

111475072 is an equidigital number, since it uses as much as digits as its factorization.

111475072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 111475072 is about 10558.1755999794. The cubic root of 111475072 is about 481.2742070918.

The spelling of 111475072 in words is "one hundred eleven million, four hundred seventy-five thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 58 59 64 116 118 128 232 236 464 472 509 928 944 1018 1711 1856 1888 2036 3422 3712 3776 4072 6844 7552 8144 13688 14761 16288 27376 29522 30031 32576 54752 59044 60062 65152 109504 118088 120124 219008 236176 240248 472352 480496 870899 944704 960992 1741798 1889408 1921984 3483596 3843968 6967192 13934384 27868768 55737536 111475072