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111420360 = 233653821
BaseRepresentation
bin1101010010000…
…10001111001000
321202122202000000
412221002033020
5212010422420
615020043000
72522025462
oct651021710
9252582000
10111420360
1157991847
1231393460
131a111a0c
1410b25132
159bad690
hex6a423c8

111420360 has 112 divisors (see below), whose sum is σ = 375970140. Its totient is φ = 29704320.

The previous prime is 111420359. The next prime is 111420377. The reversal of 111420360 is 63024111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 108618084 + 2802276 = 10422^2 + 1674^2 .

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

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 27250 + ... + 31070.

Almost surely, 2111420360 is an apocalyptic number.

111420360 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 111420360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187985070).

111420360 is an abundant number, since it is smaller than the sum of its proper divisors (264549780).

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

111420360 is an equidigital number, since it uses as much as digits as its factorization.

111420360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 111420360 is about 10555.5843040544. The cubic root of 111420360 is about 481.1954576968.

Adding to 111420360 its reverse (63024111), we get a palindrome (174444471).

The spelling of 111420360 in words is "one hundred eleven million, four hundred twenty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 3821 4860 5832 7290 7642 9720 11463 14580 15284 19105 22926 29160 30568 34389 38210 45852 57315 68778 76420 91704 103167 114630 137556 152840 171945 206334 229260 275112 309501 343890 412668 458520 515835 619002 687780 825336 928503 1031670 1238004 1375560 1547505 1857006 2063340 2476008 2785509 3095010 3714012 4126680 4642515 5571018 6190020 7428024 9285030 11142036 12380040 13927545 18570060 22284072 27855090 37140120 55710180 111420360