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68653116 = 22337212973
BaseRepresentation
bin1000001011110…
…01000000111100
311210011221101000
410011321000330
5120033344431
610451250300
71462353600
oct405710074
9153157330
1068653116
1135831114
121aba9990
13112b975c
149191500
1560619e6
hex417903c

68653116 has 72 divisors (see below), whose sum is σ = 207065040. Its totient is φ = 19613664.

The previous prime is 68653103. The next prime is 68653129. The reversal of 68653116 is 61135686.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68653103) and next prime (68653129).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1195 + ... + 11778.

Almost surely, 268653116 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 68653116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103532520).

68653116 is an abundant number, since it is smaller than the sum of its proper divisors (138411924).

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

68653116 is a wasteful number, since it uses less digits than its factorization.

68653116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13000 (or 12985 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 68653116 is about 8285.7175911323. The cubic root of 68653116 is about 409.4681106002.

The spelling of 68653116 in words is "sixty-eight million, six hundred fifty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 12973 25946 38919 51892 77838 90811 116757 155676 181622 233514 272433 350271 363244 467028 544866 635677 700542 817299 1089732 1271354 1401084 1634598 1907031 2451897 2542708 3269196 3814062 4903794 5721093 7628124 9807588 11442186 17163279 22884372 34326558 68653116