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68021000 = 2353251271
BaseRepresentation
bin1000000110111…
…10101100001000
311201222211021022
410003132230020
5114403133000
610425532012
71454111645
oct403365410
9151884238
1068021000
113543a203
121a944008
1311127b18
149068dcc
155e89585
hex40deb08

68021000 has 64 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 27000000.

The previous prime is 68020999. The next prime is 68021047. The reversal of 68021000 is 12086.

68021000 = T249 + T250 + ... + T750.

It is a self number, because there is not a number n which added to its sum of digits gives 68021000.

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 15 ways as a sum of consecutive naturals, for example, 250865 + ... + 251135.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 268021000 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 68021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

68021000 is an abundant number, since it is smaller than the sum of its proper divisors (92371960).

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

68021000 is a wasteful number, since it uses less digits than its factorization.

68021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 68021000 is about 8247.4844649748. The cubic root of 68021000 is about 408.2075229050.

Adding to 68021000 its reverse (12086), we get a palindrome (68033086).

The spelling of 68021000 in words is "sixty-eight million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 251 271 500 502 542 1000 1004 1084 1255 1355 2008 2168 2510 2710 5020 5420 6275 6775 10040 10840 12550 13550 25100 27100 31375 33875 50200 54200 62750 67750 68021 125500 135500 136042 251000 271000 272084 340105 544168 680210 1360420 1700525 2720840 3401050 6802100 8502625 13604200 17005250 34010500 68021000