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168642006 = 231317891429
BaseRepresentation
bin10100000110101…
…00010111010110
3102202022220100020
422003110113112
5321133021011
624422330010
74115301441
oct1203242726
9382286306
10168642006
1187215265
1248589906
1328c28190
141857c658
15ec13006
hexa0d45d6

168642006 has 64 divisors (see below), whose sum is σ = 389188800. Its totient is φ = 48254976.

The previous prime is 168641999. The next prime is 168642013. The reversal of 168642006 is 600246861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (168641999) and next prime (168642013).

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 31 ways as a sum of consecutive naturals, for example, 117300 + ... + 118728.

It is an arithmetic number, because the mean of its divisors is an integer number (6081075).

Almost surely, 2168642006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168642006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194594400).

168642006 is an abundant number, since it is smaller than the sum of its proper divisors (220546794).

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

168642006 is a wasteful number, since it uses less digits than its factorization.

168642006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 168642006 is about 12986.2237005220. The cubic root of 168642006 is about 552.4868171817.

Adding to 168642006 its reverse (600246861), we get a palindrome (768888867).

The spelling of 168642006 in words is "one hundred sixty-eight million, six hundred forty-two thousand, six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 89 102 178 221 267 442 534 663 1157 1326 1429 1513 2314 2858 3026 3471 4287 4539 6942 8574 9078 18577 19669 24293 37154 39338 48586 55731 59007 72879 111462 118014 127181 145758 254362 315809 381543 631618 763086 947427 1653353 1894854 2162077 3306706 4324154 4960059 6486231 9920118 12972462 28107001 56214002 84321003 168642006