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68681860 = 22513299109
BaseRepresentation
bin1000001100000…
…00000010000100
311210020101210121
410012000002010
5120040304420
610452031324
71462533442
oct406000204
9153211717
1068681860
1135850775
121b002544
13112c9870
14919bb92
15606a2aa
hex4180084

68681860 has 48 divisors (see below), whose sum is σ = 160700400. Its totient is φ = 24482304.

The previous prime is 68681849. The next prime is 68681863. The reversal of 68681860 is 6818686.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14394436 + 54287424 = 3794^2 + 7368^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (68681863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2986 + ... + 12094.

It is an arithmetic number, because the mean of its divisors is an integer number (3347925).

Almost surely, 268681860 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 68681860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80350200).

68681860 is an abundant number, since it is smaller than the sum of its proper divisors (92018540).

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

68681860 is a wasteful number, since it uses less digits than its factorization.

68681860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 68681860 is about 8287.4519606451. The cubic root of 68681860 is about 409.5252486193.

The spelling of 68681860 in words is "sixty-eight million, six hundred eighty-one thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 9109 18218 36436 45545 91090 118417 182180 236834 264161 473668 528322 592085 1056644 1184170 1320805 2368340 2641610 3434093 5283220 6868186 13736372 17170465 34340930 68681860