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168321006 = 23274347661
BaseRepresentation
bin10100000100001…
…01111111101110
3102201201121000100
422002011333232
5321042233011
624411411530
74112463540
oct1202057756
9381647010
10168321006
1187016077
1248453ba6
1328b45039
14184d7690
15eb9cd56
hexa085fee

168321006 has 96 divisors (see below), whose sum is σ = 436220928. Its totient is φ = 45904320.

The previous prime is 168321001. The next prime is 168321047. The reversal of 168321006 is 600123861.

It is a super-2 number, since 2×1683210062 = 56663922121704072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168321001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254316 + ... + 254976.

It is an arithmetic number, because the mean of its divisors is an integer number (4543968).

Almost surely, 2168321006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168321006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218110464).

168321006 is an abundant number, since it is smaller than the sum of its proper divisors (267899922).

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

168321006 is a wasteful number, since it uses less digits than its factorization.

168321006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 168321006 is about 12973.8585625095. The cubic root of 168321006 is about 552.1360526329.

Adding to 168321006 its reverse (600123861), we get a palindrome (768444867).

The spelling of 168321006 in words is "one hundred sixty-eight million, three hundred twenty-one thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 47 63 86 94 126 129 141 258 282 301 329 387 423 602 658 661 774 846 903 987 1322 1806 1974 1983 2021 2709 2961 3966 4042 4627 5418 5922 5949 6063 9254 11898 12126 13881 14147 18189 27762 28294 28423 31067 36378 41643 42441 56846 62134 83286 84882 85269 93201 127323 170538 186402 198961 217469 254646 255807 279603 397922 434938 511614 559206 596883 652407 1193766 1304814 1335881 1790649 1957221 2671762 3581298 3914442 4007643 8015286 9351167 12022929 18702334 24045858 28053501 56107002 84160503 168321006