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111000640 = 265346877
BaseRepresentation
bin1101001110110…
…11110001000000
321201212102020211
412213123301000
5211404010030
615003043504
72515330012
oct647336100
9251772224
10111000640
1157725473
1231210594
1319cc596a
1410a561b2
159b2912a
hex69dbc40

111000640 has 28 divisors (see below), whose sum is σ = 264321036. Its totient is φ = 44400128.

The previous prime is 111000611. The next prime is 111000683. The reversal of 111000640 is 46000111.

It can be written as a sum of positive squares in 2 ways, for example, as 79281216 + 31719424 = 8904^2 + 5632^2 .

It is a super-2 number, since 2×1110006402 = 24642284160819200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111000640.

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 3 ways as a sum of consecutive naturals, for example, 173119 + ... + 173758.

It is an arithmetic number, because the mean of its divisors is an integer number (9440037).

Almost surely, 2111000640 is an apocalyptic number.

111000640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111000640 is an abundant number, since it is smaller than the sum of its proper divisors (153320396).

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

111000640 is an equidigital number, since it uses as much as digits as its factorization.

111000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346894 (or 346884 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 111000640 is about 10535.6841258648. The cubic root of 111000640 is about 480.5904770244.

Adding to 111000640 its reverse (46000111), we get a palindrome (157000751).

The spelling of 111000640 in words is "one hundred eleven million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 346877 693754 1387508 1734385 2775016 3468770 5550032 6937540 11100064 13875080 22200128 27750160 55500320 111000640