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68502024 = 2334611733
BaseRepresentation
bin1000001010101…
…00001000001000
311202220021010000
410011110020020
5120014031044
610444123000
71461154233
oct405241010
9152807100
1068502024
1135738648
121ab36460
1311265a56
14915241a
156031d69
hex4154208

68502024 has 80 divisors (see below), whose sum is σ = 195127020. Its totient is φ = 22446720.

The previous prime is 68502013. The next prime is 68502029. The reversal of 68502024 is 42020586.

It can be written as a sum of positive squares in 2 ways, for example, as 61308900 + 7193124 = 7830^2 + 2682^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (68502029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38662 + ... + 40394.

Almost surely, 268502024 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 68502024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97563510).

68502024 is an abundant number, since it is smaller than the sum of its proper divisors (126624996).

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

68502024 is a wasteful number, since it uses less digits than its factorization.

68502024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 68502024 is about 8276.5949520319. The cubic root of 68502024 is about 409.1675037188.

The spelling of 68502024 in words is "sixty-eight million, five hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1464 1647 1733 2196 3294 3466 4392 4941 5199 6588 6932 9882 10398 13176 13864 15597 19764 20796 31194 39528 41592 46791 62388 93582 105713 124776 140373 187164 211426 280746 317139 374328 422852 561492 634278 845704 951417 1122984 1268556 1902834 2537112 2854251 3805668 5708502 7611336 8562753 11417004 17125506 22834008 34251012 68502024