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68860320 = 2535413499
BaseRepresentation
bin1000001101010…
…11100110100000
311210120110121020
410012223212200
5120112012240
610455525440
71464205644
oct406534640
9153513536
1068860320
1135962861
121b089880
131135cb69
149206c24
1560a30d0
hex41ab9a0

68860320 has 96 divisors (see below), whose sum is σ = 222264000. Its totient is φ = 17909760.

The previous prime is 68860301. The next prime is 68860327. The reversal of 68860320 is 2306886.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (68860327) 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 15 ways as a sum of consecutive naturals, for example, 17931 + ... + 21429.

It is an arithmetic number, because the mean of its divisors is an integer number (2315250).

Almost surely, 268860320 is an apocalyptic number.

68860320 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 68860320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111132000).

68860320 is an abundant number, since it is smaller than the sum of its proper divisors (153403680).

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

68860320 is a wasteful number, since it uses less digits than its factorization.

68860320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 68860320 is about 8298.2118555747. The cubic root of 68860320 is about 409.8796394669.

The spelling of 68860320 in words is "sixty-eight million, eight hundred sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3499 3936 4920 6560 6998 9840 10497 13996 17495 19680 20994 27992 34990 41988 52485 55984 69980 83976 104970 111968 139960 143459 167952 209940 279920 286918 335904 419880 430377 559840 573836 717295 839760 860754 1147672 1434590 1679520 1721508 2151885 2295344 2869180 3443016 4303770 4590688 5738360 6886032 8607540 11476720 13772064 17215080 22953440 34430160 68860320