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68053720 = 2357172292
BaseRepresentation
bin1000000111001…
…10101011011000
311202001111011011
410003212223120
5114410204340
610430343304
71454306230
oct403465330
9152044134
1068053720
1135461849
121a95ab34
1311139997
149076cc0
155e940ea
hex40e6ad8

68053720 has 144 divisors (see below), whose sum is σ = 192525840. Its totient is φ = 21202944.

The previous prime is 68053679. The next prime is 68053721. The reversal of 68053720 is 2735086.

It is a super-3 number, since 3×680537203 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68053721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2346666 + ... + 2346694.

It is an arithmetic number, because the mean of its divisors is an integer number (1336985).

Almost surely, 268053720 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 68053720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96262920).

68053720 is an abundant number, since it is smaller than the sum of its proper divisors (124472120).

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

68053720 is a wasteful number, since it uses less digits than its factorization.

68053720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 68053720 is about 8249.4678616260. The cubic root of 68053720 is about 408.2729654845.

Multiplying 68053720 by its product of nonzero digits (10080), we get a square (685981497600 = 8282402).

The spelling of 68053720 in words is "sixty-eight million, fifty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 29 34 35 40 56 58 68 70 85 116 119 136 140 145 170 203 232 238 280 289 290 340 406 476 493 578 580 595 680 812 841 952 986 1015 1156 1160 1190 1445 1624 1682 1972 2023 2030 2312 2380 2465 2890 3364 3451 3944 4046 4060 4205 4760 4930 5780 5887 6728 6902 8092 8120 8381 8410 9860 10115 11560 11774 13804 14297 16184 16762 16820 17255 19720 20230 23548 27608 28594 29435 33524 33640 34510 40460 41905 47096 57188 58667 58870 67048 69020 71485 80920 83810 100079 114376 117334 117740 138040 142970 167620 200158 234668 235480 243049 285940 293335 335240 400316 469336 486098 500395 571880 586670 800632 972196 1000790 1173340 1215245 1701343 1944392 2001580 2346680 2430490 3402686 4003160 4860980 6805372 8506715 9721960 13610744 17013430 34026860 68053720