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68640200 = 23523111071
BaseRepresentation
bin1000001011101…
…01110111001000
311210011021122122
410011311313020
5120032441300
610451110412
71462301126
oct405656710
9153137578
1068640200
1135822442
121aba2408
13112b3905
14918a916
15605cc85
hex4175dc8

68640200 has 48 divisors (see below), whose sum is σ = 164751360. Its totient is φ = 26568000.

The previous prime is 68640193. The next prime is 68640233. The reversal of 68640200 is 204686.

It is a super-2 number, since 2×686402002 = 9422954112080000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68640200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 665 + ... + 11735.

It is an arithmetic number, because the mean of its divisors is an integer number (3432320).

Almost surely, 268640200 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 68640200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82375680).

68640200 is an abundant number, since it is smaller than the sum of its proper divisors (96111160).

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

68640200 is a wasteful number, since it uses less digits than its factorization.

68640200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11118 (or 11109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 68640200 is about 8284.9381409881. The cubic root of 68640200 is about 409.4424306694.

Adding to 68640200 its reverse (204686), we get a palindrome (68844886).

The spelling of 68640200 in words is "sixty-eight million, six hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 11071 22142 44284 55355 88568 110710 221420 276775 343201 442840 553550 686402 1107100 1372804 1716005 2214200 2745608 3432010 6864020 8580025 13728040 17160050 34320100 68640200