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166656820 = 225114379223
BaseRepresentation
bin10011110111011…
…11101100110100
3102121121001011211
421323233230310
5320131004240
624312011204
74062362641
oct1173575464
9377531154
10166656820
1186089810
1247990b04
13286b1705
14181c2dc8
15e96ebea
hex9eefb34

166656820 has 96 divisors (see below), whose sum is σ = 397393920. Its totient is φ = 58181760.

The previous prime is 166656739. The next prime is 166656821. The reversal of 166656820 is 28656661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166656821) 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, 747229 + ... + 747451.

It is an arithmetic number, because the mean of its divisors is an integer number (4139520).

Almost surely, 2166656820 is an apocalyptic number.

166656820 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 166656820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198696960).

166656820 is an abundant number, since it is smaller than the sum of its proper divisors (230737100).

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

166656820 is a wasteful number, since it uses less digits than its factorization.

166656820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 166656820 is about 12909.5631219650. The cubic root of 166656820 is about 550.3103702767.

The spelling of 166656820 in words is "one hundred sixty-six million, six hundred fifty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 79 86 110 158 172 215 220 223 316 395 430 446 473 790 860 869 892 946 1115 1580 1738 1892 2230 2365 2453 3397 3476 4345 4460 4730 4906 6794 8690 9460 9589 9812 12265 13588 16985 17380 17617 19178 24530 33970 35234 37367 38356 47945 49060 67940 70468 74734 88085 95890 105479 149468 176170 186835 191780 193787 210958 352340 373670 387574 421916 527395 747340 757531 775148 968935 1054790 1515062 1937870 2109580 3030124 3787655 3875740 7575310 8332841 15150620 16665682 33331364 41664205 83328410 166656820