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111739968 = 2632193993
BaseRepresentation
bin1101010100100…
…00010001000000
321210020222102100
412222100101000
5212101134333
615030550400
72524526334
oct652202100
9253228370
10111739968
115808a98a
1231508400
131a1c4332
1410ba97c4
159c23213
hex6a90440

111739968 has 42 divisors (see below), whose sum is σ = 320284094. Its totient is φ = 37246464.

The previous prime is 111739967. The next prime is 111740029. The reversal of 111739968 is 869937111.

It can be written as a sum of positive squares in only one way, i.e., 105021504 + 6718464 = 10248^2 + 2592^2 .

It is not an unprimeable number, because it can be changed into a prime (111739967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96421 + ... + 97572.

Almost surely, 2111739968 is an apocalyptic number.

111739968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

111739968 is an abundant number, since it is smaller than the sum of its proper divisors (208544126).

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

111739968 is a wasteful number, since it uses less digits than its factorization.

111739968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194011 (or 193998 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 111739968 is about 10570.7127479655. The cubic root of 111739968 is about 481.6551196465.

The spelling of 111739968 in words is "one hundred eleven million, seven hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 193993 387986 581979 775972 1163958 1551944 1745937 2327916 3103888 3491874 4655832 6207776 6983748 9311664 12415552 13967496 18623328 27934992 37246656 55869984 111739968