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68369840 = 24571121009
BaseRepresentation
bin1000001001100…
…11110110110000
311202122112210022
410010303312300
5120000313330
610441223012
71460063660
oct404636660
9152575708
1068369840
1135658300
121aa91a68
131121a836
14911a1a0
156007ae5
hex4133db0

68369840 has 120 divisors (see below), whose sum is σ = 199883040. Its totient is φ = 21288960.

The previous prime is 68369813. The next prime is 68369857. The reversal of 68369840 is 4896386.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 68369791 and 68369800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67256 + ... + 68264.

It is an arithmetic number, because the mean of its divisors is an integer number (1665692).

Almost surely, 268369840 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 68369840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99941520).

68369840 is an abundant number, since it is smaller than the sum of its proper divisors (131513200).

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

68369840 is a wasteful number, since it uses less digits than its factorization.

68369840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 68369840 is about 8268.6056865713. The cubic root of 68369840 is about 408.9041527506.

The spelling of 68369840 in words is "sixty-eight million, three hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 385 440 484 560 605 616 770 847 880 968 1009 1210 1232 1540 1694 1936 2018 2420 3080 3388 4036 4235 4840 5045 6160 6776 7063 8072 8470 9680 10090 11099 13552 14126 16144 16940 20180 22198 28252 33880 35315 40360 44396 55495 56504 67760 70630 77693 80720 88792 110990 113008 122089 141260 155386 177584 221980 244178 282520 310772 388465 443960 488356 565040 610445 621544 776930 854623 887920 976712 1220890 1243088 1553860 1709246 1953424 2441780 3107720 3418492 4273115 4883560 6215440 6836984 8546230 9767120 13673968 17092460 34184920 68369840