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68780040 = 23357372213
BaseRepresentation
bin1000001100110…
…00000000001000
311210102101110220
410012120000020
5120101430130
610454110040
71463422620
oct406300010
9153371426
1068780040
113590850a
121b04b320
1311332464
1491c5880
156089410
hex4198008

68780040 has 128 divisors (see below), whose sum is σ = 242300160. Its totient is φ = 15289344.

The previous prime is 68780009. The next prime is 68780053. The reversal of 68780040 is 4008786.

It is a junction number, because it is equal to n+sod(n) for n = 68779983 and 68780010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29974 + ... + 32186.

It is an arithmetic number, because the mean of its divisors is an integer number (1892970).

Almost surely, 268780040 is an apocalyptic number.

68780040 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 68780040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121150080).

68780040 is an abundant number, since it is smaller than the sum of its proper divisors (173520120).

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

68780040 is a wasteful number, since it uses less digits than its factorization.

68780040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 68780040 is about 8293.3732582104. The cubic root of 68780040 is about 409.7202930629.

The spelling of 68780040 in words is "sixty-eight million, seven hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2213 2220 2590 3108 3885 4426 4440 5180 6216 6639 7770 8852 10360 11065 13278 15491 15540 17704 22130 26556 30982 31080 33195 44260 46473 53112 61964 66390 77455 81881 88520 92946 123928 132780 154910 163762 185892 232365 245643 265560 309820 327524 371784 409405 464730 491286 573167 619640 655048 818810 929460 982572 1146334 1228215 1637620 1719501 1858920 1965144 2292668 2456430 2865835 3275240 3439002 4585336 4912860 5731670 6878004 8597505 9825720 11463340 13756008 17195010 22926680 34390020 68780040