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68019400 = 23522391423
BaseRepresentation
bin1000000110111…
…10010011001000
311201222202002001
410003132103020
5114403110100
610425520344
71454104201
oct403362310
9151882061
1068019400
1135438a89
121a9430b4
1311127187
1490685a8
155e88d6a
hex40de4c8

68019400 has 48 divisors (see below), whose sum is σ = 158918400. Its totient is φ = 27074880.

The previous prime is 68019361. The next prime is 68019403. The reversal of 68019400 is 491086.

It is not an unprimeable number, because it can be changed into a prime (68019403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47089 + ... + 48511.

It is an arithmetic number, because the mean of its divisors is an integer number (3310800).

Almost surely, 268019400 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 68019400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79459200).

68019400 is an abundant number, since it is smaller than the sum of its proper divisors (90899000).

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

68019400 is a wasteful number, since it uses less digits than its factorization.

68019400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 68019400 is about 8247.3874651310. The cubic root of 68019400 is about 408.2043222407.

The spelling of 68019400 in words is "sixty-eight million, nineteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 239 478 956 1195 1423 1912 2390 2846 4780 5692 5975 7115 9560 11384 11950 14230 23900 28460 35575 47800 56920 71150 142300 284600 340097 680194 1360388 1700485 2720776 3400970 6801940 8502425 13603880 17004850 34009700 68019400