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111422640 = 24357292287
BaseRepresentation
bin1101010010000…
…10110010110000
321202122212010110
412221002302300
5212011011030
615020101320
72522035230
oct651026260
9252585113
10111422640
115799352a
1231394840
131a112a74
1410b25cc0
159bae1b0
hex6a42cb0

111422640 has 160 divisors (see below), whose sum is σ = 408545280. Its totient is φ = 24579072.

The previous prime is 111422629. The next prime is 111422653. The reversal of 111422640 is 46224111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 47577 + ... + 49863.

It is an arithmetic number, because the mean of its divisors is an integer number (2553408).

Almost surely, 2111422640 is an apocalyptic number.

111422640 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 111422640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204272640).

111422640 is an abundant number, since it is smaller than the sum of its proper divisors (297122640).

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

111422640 is a wasteful number, since it uses less digits than its factorization.

111422640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 111422640 is about 10555.6923032078. The cubic root of 111422640 is about 481.1987399161.

Adding to 111422640 its reverse (46224111), we get a palindrome (157646751).

The spelling of 111422640 in words is "one hundred eleven million, four hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2287 2320 2436 3045 3248 3480 4060 4574 4872 6090 6861 6960 8120 9148 9744 11435 12180 13722 16009 16240 18296 22870 24360 27444 32018 34305 36592 45740 48027 48720 54888 64036 66323 68610 80045 91480 96054 109776 128072 132646 137220 160090 182960 192108 198969 240135 256144 265292 274440 320180 331615 384216 397938 464261 480270 530584 548880 640360 663230 768432 795876 928522 960540 994845 1061168 1280720 1326460 1392783 1591752 1857044 1921080 1989690 2321305 2652920 2785566 3183504 3714088 3842160 3979380 4642610 5305840 5571132 6963915 7428176 7958760 9285220 11142264 13927830 15917520 18570440 22284528 27855660 37140880 55711320 111422640