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68637024 = 2533174673
BaseRepresentation
bin1000001011101…
…01000101100000
311210011010022000
410011311011200
5120032341044
610451044000
71462255641
oct405650540
9153133260
1068637024
1135820015
121aba0600
13112b2331
1491896c8
15605bd69
hex4175160

68637024 has 96 divisors (see below), whose sum is σ = 212012640. Its totient is φ = 21528576.

The previous prime is 68636977. The next prime is 68637029. The reversal of 68637024 is 42073686.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×686370242 = 9422082127153152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68637024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68637029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12352 + ... + 17024.

It is an arithmetic number, because the mean of its divisors is an integer number (2208465).

Almost surely, 268637024 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 68637024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106006320).

68637024 is an abundant number, since it is smaller than the sum of its proper divisors (143375616).

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

68637024 is a wasteful number, since it uses less digits than its factorization.

68637024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4709 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 68637024 is about 8284.7464656440. The cubic root of 68637024 is about 409.4361155692.

The spelling of 68637024 in words is "sixty-eight million, six hundred thirty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4673 4896 7344 9346 14019 14688 18692 28038 37384 42057 56076 74768 79441 84114 112152 126171 149536 158882 168228 224304 238323 252342 317764 336456 448608 476646 504684 635528 672912 714969 953292 1009368 1271056 1345824 1429938 1906584 2018736 2144907 2542112 2859876 3813168 4037472 4289814 5719752 7626336 8579628 11439504 17159256 22879008 34318512 68637024