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68378560 = 2653161113
BaseRepresentation
bin1000001001101…
…01111111000000
311202122222202021
410010311333000
5120001103220
610441331224
71460131255
oct404657700
9152588667
1068378560
1135663908
121aa96b14
13112217b3
14911d42c
15600a4aa
hex4135fc0

68378560 has 112 divisors (see below), whose sum is σ = 172346112. Its totient is φ = 25804800.

The previous prime is 68378521. The next prime is 68378593. The reversal of 68378560 is 6587386.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605064 + ... + 605176.

Almost surely, 268378560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86173056).

68378560 is an abundant number, since it is smaller than the sum of its proper divisors (103967552).

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

68378560 is a wasteful number, since it uses less digits than its factorization.

68378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 68378560 is about 8269.1329654323. The cubic root of 68378560 is about 408.9215361106.

The spelling of 68378560 in words is "sixty-eight million, three hundred seventy-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 61 62 64 80 113 122 124 155 160 226 244 248 305 310 320 452 488 496 565 610 620 904 976 992 1130 1220 1240 1808 1891 1952 1984 2260 2440 2480 3503 3616 3782 3904 4520 4880 4960 6893 7006 7232 7564 9040 9455 9760 9920 13786 14012 15128 17515 18080 18910 19520 27572 28024 30256 34465 35030 36160 37820 55144 56048 60512 68930 70060 75640 110288 112096 121024 137860 140120 151280 213683 220576 224192 275720 280240 302560 427366 441152 551440 560480 605120 854732 1068415 1102880 1120960 1709464 2136830 2205760 3418928 4273660 6837856 8547320 13675712 17094640 34189280 68378560