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112300672 = 2711471697
BaseRepresentation
bin1101011000110…
…01001010000000
321211022110120011
412230121022000
5212222110142
615050554304
72532353131
oct654311200
9254273504
10112300672
1158433180
1231738994
131a35c603
1410cb3c88
159cd4417
hex6b19280

112300672 has 64 divisors (see below), whose sum is σ = 249402240. Its totient is φ = 49930240.

The previous prime is 112300627. The next prime is 112300703. The reversal of 112300672 is 276003211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1123006722 = 25222881863303168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65328 + ... + 67024.

It is an arithmetic number, because the mean of its divisors is an integer number (3896910).

Almost surely, 2112300672 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 112300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124701120).

112300672 is an abundant number, since it is smaller than the sum of its proper divisors (137101568).

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

112300672 is a wasteful number, since it uses less digits than its factorization.

112300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 112300672 is about 10597.2011399237. The cubic root of 112300672 is about 482.4594140202.

Adding to 112300672 its reverse (276003211), we get a palindrome (388303883).

The spelling of 112300672 in words is "one hundred twelve million, three hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 352 376 517 704 752 1034 1408 1504 1697 2068 3008 3394 4136 6016 6788 8272 13576 16544 18667 27152 33088 37334 54304 66176 74668 79759 108608 149336 159518 217216 298672 319036 597344 638072 877349 1194688 1276144 1754698 2389376 2552288 3509396 5104576 7018792 10209152 14037584 28075168 56150336 112300672