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112033120 = 25519137269
BaseRepresentation
bin1101010110101…
…11110101100000
321210210212112211
412223113311200
5212140024440
615041131504
72530160113
oct653276540
9253725484
10112033120
1158270161
1231629b94
131a2978b4
1410c4457a
159c7eeea
hex6ad7d60

112033120 has 96 divisors (see below), whose sum is σ = 281685600. Its totient is φ = 41988096.

The previous prime is 112033109. The next prime is 112033123. The reversal of 112033120 is 21330211.

It is a self number, because there is not a number n which added to its sum of digits gives 112033120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112033123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416346 + ... + 416614.

It is an arithmetic number, because the mean of its divisors is an integer number (2934225).

Almost surely, 2112033120 is an apocalyptic number.

112033120 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 112033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140842800).

112033120 is an abundant number, since it is smaller than the sum of its proper divisors (169652480).

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

112033120 is a wasteful number, since it uses less digits than its factorization.

112033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 112033120 is about 10584.5699015123. The cubic root of 112033120 is about 482.0759623855.

Adding to 112033120 its reverse (21330211), we get a palindrome (133363331).

The spelling of 112033120 in words is "one hundred twelve million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 137 152 160 190 269 274 304 380 538 548 608 685 760 1076 1096 1345 1370 1520 2152 2192 2603 2690 2740 3040 4304 4384 5111 5206 5380 5480 8608 10222 10412 10760 10960 13015 20444 20824 21520 21920 25555 26030 36853 40888 41648 43040 51110 52060 73706 81776 83296 102220 104120 147412 163552 184265 204440 208240 294824 368530 408880 416480 589648 700207 737060 817760 1179296 1400414 1474120 2800828 2948240 3501035 5601656 5896480 7002070 11203312 14004140 22406624 28008280 56016560 112033120