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68298840 = 23325193983
BaseRepresentation
bin1000001001000…
…10100001011000
311202111221101200
410010202201120
5114441030330
610435514200
71456346661
oct404424130
9152457350
1068298840
1135609a25
121aa58960
13111c441c
1490dc368
155ee1a60
hex4122858

68298840 has 96 divisors (see below), whose sum is σ = 223348320. Its totient is φ = 18100224.

The previous prime is 68298829. The next prime is 68298847. The reversal of 68298840 is 4889286.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68298847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68989 + ... + 69971.

It is an arithmetic number, because the mean of its divisors is an integer number (2326545).

Almost surely, 268298840 is an apocalyptic number.

68298840 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 68298840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111674160).

68298840 is an abundant number, since it is smaller than the sum of its proper divisors (155049480).

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

68298840 is a wasteful number, since it uses less digits than its factorization.

68298840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 68298840 is about 8264.3112235685. The cubic root of 68298840 is about 408.7625588824.

The spelling of 68298840 in words is "sixty-eight million, two hundred ninety-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 193 360 386 579 772 965 983 1158 1544 1737 1930 1966 2316 2895 2949 3474 3860 3932 4632 4915 5790 5898 6948 7720 7864 8685 8847 9830 11580 11796 13896 14745 17370 17694 19660 23160 23592 29490 34740 35388 39320 44235 58980 69480 70776 88470 117960 176940 189719 353880 379438 569157 758876 948595 1138314 1517752 1707471 1897190 2276628 2845785 3414942 3794380 4553256 5691570 6829884 7588760 8537355 11383140 13659768 17074710 22766280 34149420 68298840