Search a number
-
+
166238460 = 223352111459
BaseRepresentation
bin10011110100010…
…01100011111100
3102120210210022000
421322021203330
5320024112320
624255022300
74056001143
oct1172114374
9376723260
10166238460
1185923463
124780a990
132859616b
141811475a
15e8dac90
hex9e898fc

166238460 has 96 divisors (see below), whose sum is σ = 519993600. Its totient is φ = 44089920.

The previous prime is 166238441. The next prime is 166238489. The reversal of 166238460 is 64832661.

166238460 is a `hidden beast` number, since 166 + 2 + 38 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113211 + ... + 114669.

It is an arithmetic number, because the mean of its divisors is an integer number (5416600).

Almost surely, 2166238460 is an apocalyptic number.

166238460 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 166238460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259996800).

166238460 is an abundant number, since it is smaller than the sum of its proper divisors (353755140).

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

166238460 is a wasteful number, since it uses less digits than its factorization.

166238460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 166238460 is about 12893.3494484560. The cubic root of 166238460 is about 549.8495015220.

The spelling of 166238460 in words is "one hundred sixty-six million, two hundred thirty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 211 270 422 540 633 844 1055 1266 1459 1899 2110 2532 2918 3165 3798 4220 4377 5697 5836 6330 7295 7596 8754 9495 11394 12660 13131 14590 17508 18990 21885 22788 26262 28485 29180 37980 39393 43770 52524 56970 65655 78786 87540 113940 131310 157572 196965 262620 307849 393930 615698 787860 923547 1231396 1539245 1847094 2770641 3078490 3694188 4617735 5541282 6156980 8311923 9235470 11082564 13853205 16623846 18470940 27706410 33247692 41559615 55412820 83119230 166238460