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112290030 = 23352914341
BaseRepresentation
bin1101011000101…
…10100011101110
321211021220222000
412230112203232
5212221240110
615050433130
72532310116
oct654264356
9254256860
10112290030
1158426186
12317327a6
131a357808
1410cb0046
159cd11c0
hex6b168ee

112290030 has 64 divisors (see below), whose sum is σ = 309787200. Its totient is φ = 28909440.

The previous prime is 112289999. The next prime is 112290041. The reversal of 112290030 is 30092211.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112289985 and 112290012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660 + ... + 15000.

It is an arithmetic number, because the mean of its divisors is an integer number (4840425).

Almost surely, 2112290030 is an apocalyptic number.

112290030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112290030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154893600).

112290030 is an abundant number, since it is smaller than the sum of its proper divisors (197497170).

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

112290030 is a wasteful number, since it uses less digits than its factorization.

112290030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14386 (or 14380 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 112290030 is about 10596.6990143157. The cubic root of 112290030 is about 482.4441736980. Note that the first 3 decimals are identical.

The spelling of 112290030 in words is "one hundred twelve million, two hundred ninety thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 7830 14341 28682 43023 71705 86046 129069 143410 215115 258138 387207 415889 430230 645345 774414 831778 1247667 1290690 1936035 2079445 2495334 3743001 3872070 4158890 6238335 7486002 11229003 12476670 18715005 22458006 37430010 56145015 112290030