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68515980 = 223513229233
BaseRepresentation
bin1000001010101…
…11100010001100
311202220222020220
410011113202030
5120020002410
610444311340
71461243021
oct405274214
9152828226
1068515980
1135748085
121ab42550
131126c200
149157548
156036070
hex415788c

68515980 has 144 divisors (see below), whose sum is σ = 215822880. Its totient is φ = 16214016.

The previous prime is 68515969. The next prime is 68515987. The reversal of 68515980 is 8951586.

It is not an unprimeable number, because it can be changed into a prime (68515987) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 293944 + ... + 294176.

It is an arithmetic number, because the mean of its divisors is an integer number (1498770).

Almost surely, 268515980 is an apocalyptic number.

68515980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68515980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107911440).

68515980 is an abundant number, since it is smaller than the sum of its proper divisors (147306900).

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

68515980 is a wasteful number, since it uses less digits than its factorization.

68515980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 68515980 is about 8277.4380094326. The cubic root of 68515980 is about 409.1952885617.

The spelling of 68515980 in words is "sixty-eight million, five hundred fifteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 169 174 195 233 260 290 338 348 377 390 435 466 507 580 676 699 754 780 845 870 932 1014 1131 1165 1398 1508 1690 1740 1885 2028 2262 2330 2535 2796 3029 3380 3495 3770 4524 4660 4901 5070 5655 6058 6757 6990 7540 9087 9802 10140 11310 12116 13514 13980 14703 15145 18174 19604 20271 22620 24505 27028 29406 30290 33785 36348 39377 40542 45435 49010 58812 60580 67570 73515 78754 81084 87841 90870 98020 101355 118131 135140 147030 157508 175682 181740 196885 202710 236262 263523 294060 351364 393770 405420 439205 472524 527046 590655 787540 878410 1054092 1141933 1181310 1317615 1756820 2283866 2362620 2635230 3425799 4567732 5270460 5709665 6851598 11419330 13703196 17128995 22838660 34257990 68515980