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68678880 = 2535199719
BaseRepresentation
bin1000001011111…
…11010011100000
311210020020201020
410011333103200
5120040211010
610452005440
71462521654
oct405772340
9153206636
1068678880
1135849506
121b000880
13112c83ba
14919aa64
156069470
hex417f4e0

68678880 has 96 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 18196992.

The previous prime is 68678879. The next prime is 68678903. The reversal of 68678880 is 8887686.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95161 + ... + 95879.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 268678880 is an apocalyptic number.

68678880 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 68678880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

68678880 is an abundant number, since it is smaller than the sum of its proper divisors (149049120).

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

68678880 is a wasteful number, since it uses less digits than its factorization.

68678880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The square root of 68678880 is about 8287.2721688141. The cubic root of 68678880 is about 409.5193256439.

The spelling of 68678880 in words is "sixty-eight million, six hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 199 240 398 480 597 719 796 995 1194 1438 1592 1990 2157 2388 2876 2985 3184 3595 3980 4314 4776 5752 5970 6368 7190 7960 8628 9552 10785 11504 11940 14380 15920 17256 19104 21570 23008 23880 28760 31840 34512 43140 47760 57520 69024 86280 95520 115040 143081 172560 286162 345120 429243 572324 715405 858486 1144648 1430810 1716972 2146215 2289296 2861620 3433944 4292430 4578592 5723240 6867888 8584860 11446480 13735776 17169720 22892960 34339440 68678880