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68059520 = 2751929193
BaseRepresentation
bin1000000111010…
…00000110000000
311202001210002222
410003220012000
5114410401040
610430430212
71454332154
oct403500600
9152053088
1068059520
1135466141
121a962368
131113c509
149079064
155e95bb5
hex40e8180

68059520 has 128 divisors (see below), whose sum is σ = 178092000. Its totient is φ = 24772608.

The previous prime is 68059513. The next prime is 68059529. The reversal of 68059520 is 2595086.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68059529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352544 + ... + 352736.

Almost surely, 268059520 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 68059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89046000).

68059520 is an abundant number, since it is smaller than the sum of its proper divisors (110032480).

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

68059520 is a wasteful number, since it uses less digits than its factorization.

68059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 68059520 is about 8249.8193919625. The cubic root of 68059520 is about 408.2845637529.

The spelling of 68059520 in words is "sixty-eight million, fifty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 64 76 80 95 116 128 145 152 160 190 193 232 290 304 320 380 386 464 551 580 608 640 760 772 928 965 1102 1160 1216 1520 1544 1856 1930 2204 2320 2432 2755 3040 3088 3667 3712 3860 4408 4640 5510 5597 6080 6176 7334 7720 8816 9280 11020 11194 12160 12352 14668 15440 17632 18335 18560 22040 22388 24704 27985 29336 30880 35264 36670 44080 44776 55970 58672 61760 70528 73340 88160 89552 106343 111940 117344 123520 146680 176320 179104 212686 223880 234688 293360 352640 358208 425372 447760 469376 531715 586720 716416 850744 895520 1063430 1173440 1701488 1791040 2126860 2346880 3402976 3582080 4253720 6805952 8507440 13611904 17014880 34029760 68059520