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68404800 = 2635214251
BaseRepresentation
bin1000001001111…
…00011001000000
311202201022202010
410010330121000
5120002423200
610442052520
71460300622
oct404743100
9152638663
1068404800
11356815a2
121aaaa140
1311230719
149128c12
156013150
hex413c640

68404800 has 84 divisors (see below), whose sum is σ = 224440496. Its totient is φ = 18240000.

The previous prime is 68404799. The next prime is 68404811. The reversal of 68404800 is 840486.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2326 + ... + 11925.

Almost surely, 268404800 is an apocalyptic number.

68404800 is a gapful number since it is divisible by the number (60) 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 68404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112220248).

68404800 is an abundant number, since it is smaller than the sum of its proper divisors (156035696).

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

68404800 is a wasteful number, since it uses less digits than its factorization.

68404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14276 (or 14261 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 68404800 is about 8270.7194366633. The cubic root of 68404800 is about 408.9738367579.

The spelling of 68404800 in words is "sixty-eight million, four hundred four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 14251 28502 42753 57004 71255 85506 114008 142510 171012 213765 228016 285020 342024 356275 427530 456032 570040 684048 712550 855060 912064 1068825 1140080 1368096 1425100 1710120 2137650 2280160 2736192 2850200 3420240 4275300 4560320 5700400 6840480 8550600 11400800 13680960 17101200 22801600 34202400 68404800