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112002660 = 223257118081
BaseRepresentation
bin1101010110100…
…00011001100100
321210202022202200
412223100121210
5212133041120
615040334500
72530002240
oct653203144
9253668680
10112002660
115824a290
1231614430
131a286a83
1410c37420
159c75e90
hex6ad0664

112002660 has 144 divisors (see below), whose sum is σ = 423626112. Its totient is φ = 23270400.

The previous prime is 112002643. The next prime is 112002661. The reversal of 112002660 is 66200211.

It is a happy number.

112002660 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 0 + 2 + 660 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9820 + ... + 17900.

It is an arithmetic number, because the mean of its divisors is an integer number (2941848).

Almost surely, 2112002660 is an apocalyptic number.

112002660 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 112002660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211813056).

112002660 is an abundant number, since it is smaller than the sum of its proper divisors (311623452).

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

112002660 is a wasteful number, since it uses less digits than its factorization.

112002660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8114 (or 8109 counting only the distinct ones).

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

The square root of 112002660 is about 10583.1309166995. The cubic root of 112002660 is about 482.0322688634.

Adding to 112002660 its reverse (66200211), we get a palindrome (178202871).

The spelling of 112002660 in words is "one hundred twelve million, two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 8081 13860 16162 24243 32324 40405 48486 56567 72729 80810 88891 96972 113134 121215 145458 161620 169701 177782 226268 242430 266673 282835 290916 339402 355564 363645 444455 484860 509103 533346 565670 622237 678804 727290 800019 848505 888910 1018206 1066692 1131340 1244474 1333365 1454580 1600038 1697010 1777820 1866711 2036412 2488948 2545515 2666730 3111185 3200076 3394020 3733422 4000095 5091030 5333460 5600133 6222370 7466844 8000190 9333555 10182060 11200266 12444740 16000380 18667110 22400532 28000665 37334220 56001330 112002660