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112024720 = 24523107569
BaseRepresentation
bin1101010110101…
…01110010010000
321210210110000201
412223111302100
5212134242340
615041024544
72530123453
oct653256220
9253713021
10112024720
1158264915
1231625154
131a293b22
1410c4149a
159c7c79a
hex6ad5c90

112024720 has 80 divisors (see below), whose sum is σ = 274803840. Its totient is φ = 42386432.

The previous prime is 112024673. The next prime is 112024721. The reversal of 112024720 is 27420211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (112024721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 196596 + ... + 197164.

It is an arithmetic number, because the mean of its divisors is an integer number (3435048).

Almost surely, 2112024720 is an apocalyptic number.

112024720 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 112024720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137401920).

112024720 is an abundant number, since it is smaller than the sum of its proper divisors (162779120).

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

112024720 is a wasteful number, since it uses less digits than its factorization.

112024720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 112024720 is about 10584.1730900435. The cubic root of 112024720 is about 482.0639137482.

Adding to 112024720 its reverse (27420211), we get a palindrome (139444931).

The spelling of 112024720 in words is "one hundred twelve million, twenty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 107 115 184 214 230 368 428 460 535 569 856 920 1070 1138 1712 1840 2140 2276 2461 2845 4280 4552 4922 5690 8560 9104 9844 11380 12305 13087 19688 22760 24610 26174 39376 45520 49220 52348 60883 65435 98440 104696 121766 130870 196880 209392 243532 261740 304415 487064 523480 608830 974128 1046960 1217660 1400309 2435320 2800618 4870640 5601236 7001545 11202472 14003090 22404944 28006180 56012360 112024720