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2024270112 = 253238910301
BaseRepresentation
bin111100010100111…
…1110100100100000
312020002000120120010
41320221332210200
513121203120422
6532511044520
7101110004064
oct17051764440
95202016503
102024270112
11949714107
12485b10740
132634c4287
14152bb5aa4
15bcaa8b0c
hex78a7e920

2024270112 has 96 divisors (see below), whose sum is σ = 5607584640. Its totient is φ = 638105600.

The previous prime is 2024270099. The next prime is 2024270113. The reversal of 2024270112 is 2110724202.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2024270113) 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, 191362 + ... + 201662.

It is an arithmetic number, because the mean of its divisors is an integer number (58412340).

Almost surely, 22024270112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024270112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803792320).

2024270112 is an abundant number, since it is smaller than the sum of its proper divisors (3583314528).

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

2024270112 is a wasteful number, since it uses less digits than its factorization.

2024270112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10426 (or 10418 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2024270112 is about 44991.8894024245. The cubic root of 2024270112 is about 1264.9969768762.

Adding to 2024270112 its reverse (2110724202), we get a palindrome (4134994314).

The spelling of 2024270112 in words is "two billion, twenty-four million, two hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 89 92 96 138 178 184 267 276 356 368 534 552 712 736 1068 1104 1424 2047 2136 2208 2848 4094 4272 6141 8188 8544 10301 12282 16376 20602 24564 30903 32752 41204 49128 61806 65504 82408 98256 123612 164816 196512 236923 247224 329632 473846 494448 710769 916789 947692 988896 1421538 1833578 1895384 2750367 2843076 3667156 3790768 5500734 5686152 7334312 7581536 11001468 11372304 14668624 21086147 22002936 22744608 29337248 42172294 44005872 63258441 84344588 88011744 126516882 168689176 253033764 337378352 506067528 674756704 1012135056 2024270112