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112462064 = 241113219199
BaseRepresentation
bin1101011010000…
…00100011110000
321211121122221122
412231000203300
5212242241224
615054241412
72533624511
oct655004360
9254548848
10112462064
1158533460
12317b6268
131a3b7c00
1410d16a08
159d1715e
hex6b408f0

112462064 has 120 divisors (see below), whose sum is σ = 272304000. Its totient is φ = 44478720.

The previous prime is 112462043. The next prime is 112462073. The reversal of 112462064 is 460264211.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565037 + ... + 565235.

It is an arithmetic number, because the mean of its divisors is an integer number (2269200).

Almost surely, 2112462064 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 112462064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136152000).

112462064 is an abundant number, since it is smaller than the sum of its proper divisors (159841936).

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

112462064 is a wasteful number, since it uses less digits than its factorization.

112462064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 112462064 is about 10604.8132468233. The cubic root of 112462064 is about 482.6904242687.

The spelling of 112462064 in words is "one hundred twelve million, four hundred sixty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 143 152 169 176 199 208 209 247 286 304 338 398 418 494 572 676 796 836 988 1144 1352 1592 1672 1859 1976 2189 2288 2587 2704 2717 3184 3211 3344 3718 3781 3952 4378 5174 5434 6422 7436 7562 8756 10348 10868 12844 14872 15124 17512 20696 21736 25688 28457 29744 30248 33631 35024 35321 41392 41591 43472 49153 51376 56914 60496 67262 70642 83182 98306 113828 134524 141284 166364 196612 227656 269048 282568 332728 369941 393224 455312 538096 540683 565136 638989 665456 739882 786448 1081366 1277978 1479764 2162732 2555956 2959528 4325464 5111912 5919056 7028879 8650928 10223824 14057758 28115516 56231032 112462064