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112003290 = 23357193119
BaseRepresentation
bin1101010110100…
…00100011011010
321210202100122000
412223100203122
5212133101130
615040341430
72530004130
oct653204332
9253670560
10112003290
115824a803
1231614876
131a287149
1410c37750
159c76260
hex6ad08da

112003290 has 128 divisors (see below), whose sum is σ = 359424000. Its totient is φ = 24245568.

The previous prime is 112003289. The next prime is 112003301. The reversal of 112003290 is 92300211.

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 an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 34351 + ... + 37469.

It is an arithmetic number, because the mean of its divisors is an integer number (2808000).

Almost surely, 2112003290 is an apocalyptic number.

112003290 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 112003290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712000).

112003290 is an abundant number, since it is smaller than the sum of its proper divisors (247420710).

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

112003290 is a wasteful number, since it uses less digits than its factorization.

112003290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3155 counting only the distinct ones).

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

The square root of 112003290 is about 10583.1606810064. The cubic root of 112003290 is about 482.0331726508.

The spelling of 112003290 in words is "one hundred twelve million, three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 570 630 665 798 855 945 1026 1197 1330 1710 1890 1995 2394 2565 3119 3591 3990 5130 5985 6238 7182 9357 11970 15595 17955 18714 21833 28071 31190 35910 43666 46785 56142 59261 65499 84213 93570 109165 118522 130998 140355 168426 177783 196497 218330 280710 296305 327495 355566 392994 414827 421065 533349 589491 592610 654990 829654 842130 888915 982485 1066698 1178982 1244481 1600047 1777830 1964970 2074135 2488962 2666745 2947455 3200094 3733443 4148270 5333490 5894910 6222405 7466886 8000235 11200329 12444810 16000470 18667215 22400658 37334430 56001645 112003290