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112104800 = 2552178243
BaseRepresentation
bin1101010111010…
…01010101100000
321210221111212122
412223221111200
5212144323200
615042443412
72530606103
oct653512540
9253844778
10112104800
1158309aa5
1231663568
131a2c1402
1410c6273a
159c96385
hex6ae9560

112104800 has 72 divisors (see below), whose sum is σ = 289809576. Its totient is φ = 42199040.

The previous prime is 112104799. The next prime is 112104803. The reversal of 112104800 is 8401211.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112104803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9479 + ... + 17721.

It is an arithmetic number, because the mean of its divisors is an integer number (4025133).

Almost surely, 2112104800 is an apocalyptic number.

112104800 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 112104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144904788).

112104800 is an abundant number, since it is smaller than the sum of its proper divisors (177704776).

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

112104800 is a wasteful number, since it uses less digits than its factorization.

112104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 112104800 is about 10587.9554211377. The cubic root of 112104800 is about 482.1787529353.

The spelling of 112104800 in words is "one hundred twelve million, one hundred four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2720 3400 6800 8243 13600 16486 32972 41215 65944 82430 131888 140131 164860 206075 263776 280262 329720 412150 560524 659440 700655 824300 1121048 1318880 1401310 1648600 2242096 2802620 3297200 3503275 4484192 5605240 6594400 7006550 11210480 14013100 22420960 28026200 56052400 112104800