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16806132 = 22327173923
BaseRepresentation
bin100000000011…
…1000011110100
31011121211200100
41000013003310
513300244012
61400114100
7262564320
oct100070364
934554610
1016806132
119539772
125765930
133635775
142336980
15171e8dc
hex10070f4

16806132 has 72 divisors (see below), whose sum is σ = 51420096. Its totient is φ = 4518144.

The previous prime is 16806071. The next prime is 16806173. The reversal of 16806132 is 23160861.

It is a junction number, because it is equal to n+sod(n) for n = 16806096 and 16806105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2323 + ... + 6245.

It is an arithmetic number, because the mean of its divisors is an integer number (714168).

Almost surely, 216806132 is an apocalyptic number.

16806132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16806132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25710048).

16806132 is an abundant number, since it is smaller than the sum of its proper divisors (34613964).

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

16806132 is a wasteful number, since it uses less digits than its factorization.

16806132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3952 counting only the distinct ones).

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

The square root of 16806132 is about 4099.5282655447. The cubic root of 16806132 is about 256.1469899667.

Adding to 16806132 its reverse (23160861), we get a palindrome (39966993).

The spelling of 16806132 in words is "sixteen million, eight hundred six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 3923 4284 7846 11769 15692 23538 27461 35307 47076 54922 66691 70614 82383 109844 133382 141228 164766 200073 247149 266764 329532 400146 466837 494298 600219 800292 933674 988596 1200438 1400511 1867348 2400876 2801022 4201533 5602044 8403066 16806132