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166053690 = 232511414091
BaseRepresentation
bin10011110010111…
…00011100111010
3102120110101211200
421321130130322
5320002204230
624251035030
74054301355
oct1171343472
9376411750
10166053690
1185807660
124773ba76
132853002a
14180a729c
15e8a1160
hex9e5c73a

166053690 has 96 divisors (see below), whose sum is σ = 482594112. Its totient is φ = 39264000.

The previous prime is 166053689. The next prime is 166053697. The reversal of 166053690 is 96350661.

166053690 is a `hidden beast` number, since 16 + 605 + 36 + 9 + 0 = 666.

It is a super-2 number, since 2×1660536902 = 55147655925232200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166053697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38545 + ... + 42635.

It is an arithmetic number, because the mean of its divisors is an integer number (5027022).

Almost surely, 2166053690 is an apocalyptic number.

166053690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166053690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297056).

166053690 is an abundant number, since it is smaller than the sum of its proper divisors (316540422).

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

166053690 is a wasteful number, since it uses less digits than its factorization.

166053690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 166053690 is about 12886.1821343639. The cubic root of 166053690 is about 549.6457112238.

The spelling of 166053690 in words is "one hundred sixty-six million, fifty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 41 45 55 66 82 90 99 110 123 165 198 205 246 330 369 410 451 495 615 738 902 990 1230 1353 1845 2255 2706 3690 4059 4091 4510 6765 8118 8182 12273 13530 20295 20455 24546 36819 40590 40910 45001 61365 73638 90002 122730 135003 167731 184095 225005 270006 335462 368190 405009 450010 503193 675015 810018 838655 1006386 1350030 1509579 1677310 1845041 2025045 2515965 3019158 3690082 4050090 5031930 5535123 7547895 9225205 11070246 15095790 16605369 18450410 27675615 33210738 55351230 83026845 166053690