Search a number
-
+
166321420 = 22541435389
BaseRepresentation
bin10011110100111…
…01110100001100
3102120222000002121
421322131310030
5320034241140
624300502324
74056465046
oct1172356414
9376860077
10166321420
118597a821
124784a9a4
13285c4b55
1418136a96
15e90564a
hex9e9dd0c

166321420 has 96 divisors (see below), whose sum is σ = 377213760. Its totient is φ = 61501440.

The previous prime is 166321381. The next prime is 166321427. The reversal of 166321420 is 24123661.

It is not an unprimeable number, because it can be changed into a prime (166321427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1868736 + ... + 1868824.

It is an arithmetic number, because the mean of its divisors is an integer number (3929310).

Almost surely, 2166321420 is an apocalyptic number.

166321420 is a gapful number since it is divisible by the number (10) 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 166321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188606880).

166321420 is an abundant number, since it is smaller than the sum of its proper divisors (210892340).

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

166321420 is a wasteful number, since it uses less digits than its factorization.

166321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 166321420 is about 12896.5662096544. The cubic root of 166321420 is about 549.9409523386.

The spelling of 166321420 in words is "one hundred sixty-six million, three hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 43 53 82 86 89 106 164 172 178 205 212 215 265 356 410 430 445 530 820 860 890 1060 1763 1780 2173 2279 3526 3649 3827 4346 4558 4717 7052 7298 7654 8692 8815 9116 9434 10865 11395 14596 15308 17630 18245 18868 19135 21730 22790 23585 35260 36490 38270 43460 45580 47170 72980 76540 93439 94340 156907 186878 193397 202831 313814 373756 386794 405662 467195 627628 773588 784535 811324 934390 966985 1014155 1569070 1868780 1933970 2028310 3138140 3867940 4056620 8316071 16632142 33264284 41580355 83160710 166321420