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112104320 = 2751091607
BaseRepresentation
bin1101010111010…
…01001110000000
321210221111012212
412223221032000
5212144314240
615042441252
72530604516
oct653511600
9253844185
10112104320
11583096a9
1231663228
131a2c1123
1410c624b6
159c96165
hex6ae9380

112104320 has 64 divisors (see below), whose sum is σ = 270626400. Its totient is φ = 44402688.

The previous prime is 112104271. The next prime is 112104329. The reversal of 112104320 is 23401211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112104295 and 112104304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112104329) 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, 68957 + ... + 70563.

Almost surely, 2112104320 is an apocalyptic number.

112104320 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 112104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135313200).

112104320 is an abundant number, since it is smaller than the sum of its proper divisors (158522080).

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

112104320 is a wasteful number, since it uses less digits than its factorization.

112104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 112104320 is about 10587.9327538477. The cubic root of 112104320 is about 482.1780647515.

Adding to 112104320 its reverse (23401211), we get a palindrome (135505531).

The spelling of 112104320 in words is "one hundred twelve million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 320 436 545 640 872 1090 1607 1744 2180 3214 3488 4360 6428 6976 8035 8720 12856 13952 16070 17440 25712 32140 34880 51424 64280 69760 102848 128560 175163 205696 257120 350326 514240 700652 875815 1028480 1401304 1751630 2802608 3503260 5605216 7006520 11210432 14013040 22420864 28026080 56052160 112104320