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112363464 = 23323476171
BaseRepresentation
bin1101011001010…
…00011111001000
321211102122200210
412230220133020
5212231112324
615052201120
72533034163
oct654503710
9254378623
10112363464
1158476374
12317691a0
131a382075
1410cccada
159ce7d29
hex6b287c8

112363464 has 128 divisors (see below), whose sum is σ = 308551680. Its totient is φ = 34003200.

The previous prime is 112363423. The next prime is 112363477. The reversal of 112363464 is 464363211.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1582549 + ... + 1582619.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 2112363464 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 112363464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

112363464 is an abundant number, since it is smaller than the sum of its proper divisors (196188216).

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

112363464 is a wasteful number, since it uses less digits than its factorization.

112363464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 112363464 is about 10600.1633949671. The cubic root of 112363464 is about 482.5493183411.

The spelling of 112363464 in words is "one hundred twelve million, three hundred sixty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 47 61 69 71 92 94 122 138 141 142 183 184 188 213 244 276 282 284 366 376 426 488 552 564 568 732 852 1081 1128 1403 1464 1633 1704 2162 2806 2867 3243 3266 3337 4209 4324 4331 4899 5612 5734 6486 6532 6674 8418 8601 8648 8662 9798 10011 11224 11468 12972 12993 13064 13348 16836 17202 17324 19596 20022 22936 25944 25986 26696 33672 34404 34648 39192 40044 51972 65941 68808 76751 80088 99613 103944 131882 153502 197823 199226 203557 230253 263764 298839 307004 395646 398452 407114 460506 527528 597678 610671 614008 791292 796904 814228 921012 1195356 1221342 1582584 1628456 1842024 2390712 2442684 4681811 4885368 9363622 14045433 18727244 28090866 37454488 56181732 112363464