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112305024 = 2732137499
BaseRepresentation
bin1101011000110…
…10001110000000
321211022200112100
412230122032000
5212222230044
615051030400
72532401616
oct654321600
9254280470
10112305024
1158436477
123173b400
131a3615a0
1410cb56b6
159cd5869
hex6b1a380

112305024 has 96 divisors (see below), whose sum is σ = 348075000. Its totient is φ = 34550784.

The previous prime is 112305013. The next prime is 112305041. The reversal of 112305024 is 420503211.

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

It is a super-2 number, since 2×1123050242 = 25224836831281152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112304988 and 112305006.

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 11 ways as a sum of consecutive naturals, for example, 11227 + ... + 18725.

Almost surely, 2112305024 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 112305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174037500).

112305024 is an abundant number, since it is smaller than the sum of its proper divisors (235769976).

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

112305024 is a wasteful number, since it uses less digits than its factorization.

112305024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 112305024 is about 10597.4064751712. The cubic root of 112305024 is about 482.4656462068.

Adding to 112305024 its reverse (420503211), we get a palindrome (532808235).

The spelling of 112305024 in words is "one hundred twelve million, three hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 7499 14976 14998 22497 29996 44994 59992 67491 89988 97487 119984 134982 179976 194974 239968 269964 292461 359952 389948 479936 539928 584922 719904 779896 877383 959872 1079856 1169844 1439808 1559792 1754766 2159712 2339688 2879616 3119584 3509532 4319424 4679376 6239168 7019064 8638848 9358752 12478336 14038128 18717504 28076256 37435008 56152512 112305024