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68063072 = 25711231201
BaseRepresentation
bin1000000111010…
…00111101100000
311202001221222112
410003220331200
5114411004242
610430454452
71454345420
oct403507540
9152057875
1068063072
1135468880
121a964428
131114100c
14907a480
155e96c82
hex40e8f60

68063072 has 96 divisors (see below), whose sum is σ = 174472704. Its totient is φ = 25344000.

The previous prime is 68063069. The next prime is 68063081. The reversal of 68063072 is 27036086.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 56072 + ... + 57272.

It is an arithmetic number, because the mean of its divisors is an integer number (1817424).

Almost surely, 268063072 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 68063072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87236352).

68063072 is an abundant number, since it is smaller than the sum of its proper divisors (106409632).

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

68063072 is a wasteful number, since it uses less digits than its factorization.

68063072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 68063072 is about 8250.0346665938. The cubic root of 68063072 is about 408.2916663671.

The spelling of 68063072 in words is "sixty-eight million, sixty-three thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 77 88 92 112 154 161 176 184 224 253 308 322 352 368 506 616 644 736 1012 1201 1232 1288 1771 2024 2402 2464 2576 3542 4048 4804 5152 7084 8096 8407 9608 13211 14168 16814 19216 26422 27623 28336 33628 38432 52844 55246 56672 67256 92477 105688 110492 134512 184954 193361 211376 220984 269024 303853 369908 386722 422752 441968 607706 739816 773444 883936 1215412 1479632 1546888 2126971 2430824 2959264 3093776 4253942 4861648 6187552 8507884 9723296 17015768 34031536 68063072