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112405392 = 243211292447
BaseRepresentation
bin1101011001100…
…10101110010000
321211111210012200
412230302232100
5212233433032
615053123200
72533300341
oct654625620
9254453180
10112405392
11584a4920
1231789500
131a398188
1410d000c8
159d0547c
hex6b32b90

112405392 has 120 divisors (see below), whose sum is σ = 355155840. Its totient is φ = 32874240.

The previous prime is 112405379. The next prime is 112405409. The reversal of 112405392 is 293504211.

112405392 is a `hidden beast` number, since 1 + 124 + 0 + 539 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 44713 + ... + 47159.

It is an arithmetic number, because the mean of its divisors is an integer number (2959632).

Almost surely, 2112405392 is an apocalyptic number.

112405392 is a gapful number since it is divisible by the number (12) 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 112405392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177577920).

112405392 is an abundant number, since it is smaller than the sum of its proper divisors (242750448).

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

112405392 is a wasteful number, since it uses less digits than its factorization.

112405392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 112405392 is about 10602.1409158717. The cubic root of 112405392 is about 482.6093313592.

It can be divided in two parts, 112 and 405392, that added together give a palindrome (405504).

The spelling of 112405392 in words is "one hundred twelve million, four hundred five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 132 144 174 176 198 232 261 264 319 348 396 464 522 528 638 696 792 957 1044 1276 1392 1584 1914 2088 2447 2552 2871 3828 4176 4894 5104 5742 7341 7656 9788 11484 14682 15312 19576 22023 22968 26917 29364 39152 44046 45936 53834 58728 70963 80751 88092 107668 117456 141926 161502 176184 212889 215336 242253 283852 323004 352368 425778 430672 484506 567704 638667 646008 780593 851556 969012 1135408 1277334 1292016 1561186 1703112 1938024 2341779 2554668 3122372 3406224 3876048 4683558 5109336 6244744 7025337 9367116 10218672 12489488 14050674 18734232 28101348 37468464 56202696 112405392