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68179540 = 225111331769
BaseRepresentation
bin1000001000001…
…01011001010100
311202021212202011
410010011121110
5114423221130
610433154004
71455342112
oct404053124
9152255664
1068179540
1135538330
121a9bb904
1311182030
1490aaab2
155ebb52a
hex4105654

68179540 has 96 divisors (see below), whose sum is σ = 173859840. Its totient is φ = 22118400.

The previous prime is 68179523. The next prime is 68179541. The reversal of 68179540 is 4597186.

It is a super-2 number, since 2×681795402 = 9296899349223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68179493 and 68179502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68179541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88276 + ... + 89044.

It is an arithmetic number, because the mean of its divisors is an integer number (1811040).

Almost surely, 268179540 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 68179540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86929920).

68179540 is an abundant number, since it is smaller than the sum of its proper divisors (105680300).

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

68179540 is a wasteful number, since it uses less digits than its factorization.

68179540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 68179540 is about 8257.0902865356. The cubic root of 68179540 is about 408.5244201661.

The spelling of 68179540 in words is "sixty-eight million, one hundred seventy-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 31 44 52 55 62 65 110 124 130 143 155 220 260 286 310 341 403 572 620 682 715 769 806 1364 1430 1538 1612 1705 2015 2860 3076 3410 3845 4030 4433 6820 7690 8060 8459 8866 9997 15380 16918 17732 19994 22165 23839 33836 39988 42295 44330 47678 49985 84590 88660 95356 99970 109967 119195 169180 199940 219934 238390 262229 309907 439868 476780 524458 549835 619814 1048916 1099670 1239628 1311145 1549535 2199340 2622290 3099070 3408977 5244580 6198140 6817954 13635908 17044885 34089770 68179540