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68110848 = 293313379
BaseRepresentation
bin1000000111101…
…00101000000000
311202011101112000
410003310220000
5114414021343
610431504000
71454634621
oct403645000
9152141460
1068110848
11354a0763
121a988000
13111599a0
14908da48
155ea5ed3
hex40f4a00

68110848 has 160 divisors (see below), whose sum is σ = 217694400. Its totient is φ = 20901888.

The previous prime is 68110841. The next prime is 68110871. The reversal of 68110848 is 84801186.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68110841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179523 + ... + 179901.

It is an arithmetic number, because the mean of its divisors is an integer number (1360590).

Almost surely, 268110848 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 68110848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108847200).

68110848 is an abundant number, since it is smaller than the sum of its proper divisors (149583552).

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

68110848 is a wasteful number, since it uses less digits than its factorization.

68110848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 68110848 is about 8252.9296616414. The cubic root of 68110848 is about 408.3871757221.

The spelling of 68110848 in words is "sixty-eight million, one hundred ten thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 379 384 416 432 468 512 576 624 702 758 768 832 864 936 1137 1152 1248 1404 1516 1536 1664 1728 1872 2274 2304 2496 2808 3032 3328 3411 3456 3744 4548 4608 4927 4992 5616 6064 6656 6822 6912 7488 9096 9854 9984 10233 11232 12128 13644 13824 14781 14976 18192 19708 19968 20466 22464 24256 27288 29562 29952 36384 39416 40932 44343 44928 48512 54576 59124 59904 72768 78832 81864 88686 89856 97024 109152 118248 133029 145536 157664 163728 177372 179712 194048 218304 236496 266058 291072 315328 327456 354744 436608 472992 532116 582144 630656 654912 709488 873216 945984 1064232 1261312 1309824 1418976 1746432 1891968 2128464 2522624 2619648 2837952 3783936 4256928 5239296 5675904 7567872 8513856 11351808 17027712 22703616 34055424 68110848