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111172140 = 223254311433
BaseRepresentation
bin1101010000001…
…01101000101100
321202012010111200
412220011220230
5211430002030
615010445500
72516643012
oct650055054
9252163450
10111172140
1157832302
1231293890
131a055a41
1410a9c8b2
159b5ed60
hex6a05a2c

111172140 has 72 divisors (see below), whose sum is σ = 338240448. Its totient is φ = 29556480.

The previous prime is 111172093. The next prime is 111172147. The reversal of 111172140 is 41271111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111172147) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 76864 + ... + 78296.

It is an arithmetic number, because the mean of its divisors is an integer number (4697784).

Almost surely, 2111172140 is an apocalyptic number.

111172140 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 111172140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169120224).

111172140 is an abundant number, since it is smaller than the sum of its proper divisors (227068308).

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

111172140 is a wasteful number, since it uses less digits than its factorization.

111172140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 111172140 is about 10543.8199908762. The cubic root of 111172140 is about 480.8378595477.

The spelling of 111172140 in words is "one hundred eleven million, one hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 431 862 1293 1433 1724 2155 2586 2866 3879 4299 4310 5172 5732 6465 7165 7758 8598 8620 12897 12930 14330 15516 17196 19395 21495 25794 25860 28660 38790 42990 51588 64485 77580 85980 128970 257940 617623 1235246 1852869 2470492 3088115 3705738 5558607 6176230 7411476 9264345 11117214 12352460 18528690 22234428 27793035 37057380 55586070 111172140