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111408140 = 225172911299
BaseRepresentation
bin1101010001111…
…11010000001100
321202122010020102
412220333100030
5212010030030
615015510232
72521645034
oct650772014
9252563212
10111408140
1157983648
1231388378
131a10929c
1410b208c4
159ba9c45
hex6a3f40c

111408140 has 48 divisors (see below), whose sum is σ = 256284000. Its totient is φ = 40492032.

The previous prime is 111408139. The next prime is 111408149. The reversal of 111408140 is 41804111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (111408149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4211 + ... + 15509.

It is an arithmetic number, because the mean of its divisors is an integer number (5339250).

Almost surely, 2111408140 is an apocalyptic number.

111408140 is a gapful number since it is divisible by the number (10) 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 111408140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128142000).

111408140 is an abundant number, since it is smaller than the sum of its proper divisors (144875860).

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

111408140 is a wasteful number, since it uses less digits than its factorization.

111408140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11354 (or 11352 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 111408140 is about 10555.0054476537. The cubic root of 111408140 is about 481.1778653900.

The spelling of 111408140 in words is "one hundred eleven million, four hundred eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 11299 22598 45196 56495 112990 192083 225980 327671 384166 655342 768332 960415 1310684 1638355 1920830 3276710 3841660 5570407 6553420 11140814 22281628 27852035 55704070 111408140