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68865480 = 23325233821
BaseRepresentation
bin1000001101011…
…00110111001000
311210120201200100
410012230313020
5120112143410
610500005400
71464226665
oct406546710
9153521610
1068865480
1135966722
121b090860
1311362308
149208a6c
1560a48c0
hex41acdc8

68865480 has 96 divisors (see below), whose sum is σ = 225047160. Its totient is φ = 18263040.

The previous prime is 68865479. The next prime is 68865529. The reversal of 68865480 is 8456886.

It can be written as a sum of positive squares in 4 ways, for example, as 37527876 + 31337604 = 6126^2 + 5598^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83470 + ... + 84290.

Almost surely, 268865480 is an apocalyptic number.

68865480 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 68865480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112523580).

68865480 is an abundant number, since it is smaller than the sum of its proper divisors (156181680).

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

68865480 is a wasteful number, since it uses less digits than its factorization.

68865480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 68865480 is about 8298.5227601062. The cubic root of 68865480 is about 409.8898772260.

The spelling of 68865480 in words is "sixty-eight million, eight hundred sixty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 233 360 466 699 821 932 1165 1398 1642 1864 2097 2330 2463 2796 3284 3495 4105 4194 4660 4926 5592 6568 6990 7389 8210 8388 9320 9852 10485 12315 13980 14778 16420 16776 19704 20970 24630 27960 29556 32840 36945 41940 49260 59112 73890 83880 98520 147780 191293 295560 382586 573879 765172 956465 1147758 1530344 1721637 1912930 2295516 2869395 3443274 3825860 4591032 5738790 6886548 7651720 8608185 11477580 13773096 17216370 22955160 34432740 68865480