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68357016 = 233271310433
BaseRepresentation
bin1000001001100…
…00101110011000
311202121220012100
410010300232120
5114444411031
610441043400
71460011410
oct404605630
9152556170
1068357016
1135649702
121aa86560
1311214a50
149115640
156003de6
hex4130b98

68357016 has 96 divisors (see below), whose sum is σ = 227878560. Its totient is φ = 18026496.

The previous prime is 68357011. The next prime is 68357021. The reversal of 68357016 is 61075386.

68357016 is a `hidden beast` number, since 6 + 83 + 570 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (68357011) and next prime (68357021).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68357011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336 + ... + 11768.

It is an arithmetic number, because the mean of its divisors is an integer number (2373735).

Almost surely, 268357016 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 68357016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113939280).

68357016 is an abundant number, since it is smaller than the sum of its proper divisors (159521544).

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

68357016 is a wasteful number, since it uses less digits than its factorization.

68357016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10465 (or 10458 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 68357016 is about 8267.8301869354. The cubic root of 68357016 is about 408.8785853623.

The spelling of 68357016 in words is "sixty-eight million, three hundred fifty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 10433 20866 31299 41732 62598 73031 83464 93897 125196 135629 146062 187794 219093 250392 271258 292124 375588 406887 438186 542516 584248 657279 751176 813774 876372 949403 1085032 1220661 1314558 1627548 1752744 1898806 2441322 2629116 2848209 3255096 3797612 4882644 5258232 5696418 7595224 8544627 9765288 11392836 17089254 22785672 34178508 68357016