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112114352 = 247331659
BaseRepresentation
bin1101010111010…
…11101010110000
321210221222222102
412223223222300
5212200124402
615042555532
72530646000
oct653535260
9253858872
10112114352
1158316199
1231668ba8
131a2c586c
1410c66000
159c99102
hex6aebab0

112114352 has 80 divisors (see below), whose sum is σ = 261888000. Its totient is φ = 46428480.

The previous prime is 112114309. The next prime is 112114369. The reversal of 112114352 is 253411211.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169799 + ... + 170457.

It is an arithmetic number, because the mean of its divisors is an integer number (3273600).

Almost surely, 2112114352 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 112114352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130944000).

112114352 is an abundant number, since it is smaller than the sum of its proper divisors (149773648).

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

112114352 is an equidigital number, since it uses as much as digits as its factorization.

112114352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 699 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 112114352 is about 10588.4064901193. The cubic root of 112114352 is about 482.1924473850.

Adding to 112114352 its reverse (253411211), we get a palindrome (365525563).

The spelling of 112114352 in words is "one hundred twelve million, one hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 343 392 434 496 659 686 784 868 1318 1372 1519 1736 2636 2744 3038 3472 4613 5272 5488 6076 9226 10544 10633 12152 18452 20429 21266 24304 32291 36904 40858 42532 64582 73808 81716 85064 129164 143003 163432 170128 226037 258328 286006 326864 452074 516656 572012 904148 1001021 1144024 1808296 2002042 2288048 3616592 4004084 7007147 8008168 14014294 16016336 28028588 56057176 112114352