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112445440 = 211579139
BaseRepresentation
bin1101011001111…
…00100000000000
321211120211010221
412230330200000
5212241223230
615054032424
72533525162
oct654744000
9254524127
10112445440
1158521a18
12317a8714
131a3b0483
1410d10932
159d1227a
hex6b3c800

112445440 has 96 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 44089344.

The previous prime is 112445393. The next prime is 112445449. The reversal of 112445440 is 44544211.

It is not an unprimeable number, because it can be changed into a prime (112445449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808891 + ... + 809029.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2112445440 is an apocalyptic number.

112445440 is a gapful number since it is divisible by the number (10) 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 112445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

112445440 is an abundant number, since it is smaller than the sum of its proper divisors (162738560).

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

112445440 is an equidigital number, since it uses as much as digits as its factorization.

112445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 112445440 is about 10604.0294228185. The cubic root of 112445440 is about 482.6666395341. Note that the first 4 decimals are identical.

Adding to 112445440 its reverse (44544211), we get a palindrome (156989651).

It can be divided in two parts, 1124 and 45440, that added together give a palindrome (46564).

The spelling of 112445440 in words is "one hundred twelve million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 139 158 160 256 278 316 320 395 512 556 632 640 695 790 1024 1112 1264 1280 1390 1580 2048 2224 2528 2560 2780 3160 4448 5056 5120 5560 6320 8896 10112 10240 10981 11120 12640 17792 20224 21962 22240 25280 35584 40448 43924 44480 50560 54905 71168 80896 87848 88960 101120 109810 142336 161792 175696 177920 202240 219620 284672 351392 355840 404480 439240 702784 711680 808960 878480 1405568 1423360 1756960 2811136 3513920 5622272 7027840 11244544 14055680 22489088 28111360 56222720 112445440