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32990166 = 23611317
BaseRepresentation
bin111110111011…
…0001111010110
32022002002000000
41331312033112
531421141131
63135032130
7550261146
oct175661726
968062000
1032990166
1117693000
12b06b646
136ab1011
14454a926
152d69ce6
hex1f763d6

32990166 has 112 divisors (see below), whose sum is σ = 86408208. Its totient is φ = 9408960.

The previous prime is 32990147. The next prime is 32990171. The reversal of 32990166 is 66109923.

It is a self number, because there is not a number n which added to its sum of digits gives 32990166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1940590 + ... + 1940606.

Almost surely, 232990166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32990166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43204104).

32990166 is an abundant number, since it is smaller than the sum of its proper divisors (53418042).

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

32990166 is an equidigital number, since it uses as much as digits as its factorization.

32990166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 32990166 is about 5743.7066429267. The cubic root of 32990166 is about 320.7215683265.

The spelling of 32990166 in words is "thirty-two million, nine hundred ninety thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 121 153 162 187 198 242 243 297 306 363 374 459 486 561 594 726 729 891 918 1089 1122 1331 1377 1458 1683 1782 2057 2178 2662 2673 2754 3267 3366 3993 4114 4131 5049 5346 6171 6534 7986 8019 8262 9801 10098 11979 12342 12393 15147 16038 18513 19602 22627 23958 24786 29403 30294 35937 37026 45254 45441 55539 58806 67881 71874 88209 90882 107811 111078 135762 136323 166617 176418 203643 215622 272646 323433 333234 407286 499851 610929 646866 970299 999702 1221858 1499553 1832787 1940598 2999106 3665574 5498361 10996722 16495083 32990166