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112705344 = 26357247
BaseRepresentation
bin1101011011110…
…11111101000000
321212002000200000
412231323331000
5212323032334
615103400000
72535660003
oct655737500
9255060600
10112705344
115868a214
12318b3000
131a47186b
1410d7b53a
159d64299
hex6b7bf40

112705344 has 84 divisors (see below), whose sum is σ = 335060544. Its totient is φ = 37563264.

The previous prime is 112705331. The next prime is 112705363. The reversal of 112705344 is 443507211.

112705344 is a `hidden beast` number, since 1 + 127 + 0 + 534 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11929 + ... + 19175.

It is an arithmetic number, because the mean of its divisors is an integer number (3988816).

Almost surely, 2112705344 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 112705344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167530272).

112705344 is an abundant number, since it is smaller than the sum of its proper divisors (222355200).

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

112705344 is an frugal number, since it uses more digits than its factorization.

112705344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7274 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 112705344 is about 10616.2773136349. The cubic root of 112705344 is about 483.0382285239.

The spelling of 112705344 in words is "one hundred twelve million, seven hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7247 7776 14494 15552 21741 28988 43482 57976 65223 86964 115952 130446 173928 195669 231904 260892 347856 391338 463808 521784 587007 695712 782676 1043568 1174014 1391424 1565352 1761021 2087136 2348028 3130704 3522042 4174272 4696056 6261408 7044084 9392112 12522816 14088168 18784224 28176336 37568448 56352672 112705344