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68143104 = 211323697
BaseRepresentation
bin1000000111111…
…00100000000000
311202020000202200
410003330200000
5114421034404
610432313200
71455130641
oct403744000
9152200680
1068143104
1135512a17
121a9a2800
131116b583
14909b6c8
155eb0839
hex40fc800

68143104 has 72 divisors (see below), whose sum is σ = 196863030. Its totient is φ = 22708224.

The previous prime is 68143099. The next prime is 68143111. The reversal of 68143104 is 40134186.

It can be written as a sum of positive squares in only one way, i.e., 66585600 + 1557504 = 8160^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16584 + ... + 20280.

Almost surely, 268143104 is an apocalyptic number.

68143104 is a gapful number since it is divisible by the number (64) 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 68143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98431515).

68143104 is an abundant number, since it is smaller than the sum of its proper divisors (128719926).

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

68143104 is a wasteful number, since it uses less digits than its factorization.

68143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68143104 is about 8254.8836454550. The cubic root of 68143104 is about 408.4516336765.

The spelling of 68143104 in words is "sixty-eight million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3697 4608 6144 7394 9216 11091 14788 18432 22182 29576 33273 44364 59152 66546 88728 118304 133092 177456 236608 266184 354912 473216 532368 709824 946432 1064736 1419648 1892864 2129472 2839296 3785728 4258944 5678592 7571456 8517888 11357184 17035776 22714368 34071552 68143104