Search a number
-
+
166243428 = 223413291361
BaseRepresentation
bin10011110100010…
…10110001100100
3102120211001010000
421322022301210
5320024242203
624255101300
74056021501
oct1172126144
9376731100
10166243428
118592716a
1247811830
13285984c0
14181164a8
15e8dc4a3
hex9e8ac64

166243428 has 120 divisors (see below), whose sum is σ = 484517880. Its totient is φ = 49351680.

The previous prime is 166243409. The next prime is 166243433. The reversal of 166243428 is 824342661.

166243428 is a `hidden beast` number, since 1 + 6 + 624 + 3 + 4 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 166100544 = 378^2 + 12888^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 166243392 and 166243401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121468 + ... + 122828.

It is an arithmetic number, because the mean of its divisors is an integer number (4037649).

Almost surely, 2166243428 is an apocalyptic number.

166243428 is a gapful number since it is divisible by the number (18) 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 166243428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242258940).

166243428 is an abundant number, since it is smaller than the sum of its proper divisors (318274452).

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

166243428 is a wasteful number, since it uses less digits than its factorization.

166243428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1408 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 166243428 is about 12893.5421044801. The cubic root of 166243428 is about 549.8549788448.

The spelling of 166243428 in words is "one hundred sixty-six million, two hundred forty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 156 162 174 234 261 324 348 351 377 468 522 702 754 783 1044 1053 1131 1361 1404 1508 1566 2106 2262 2349 2722 3132 3393 4083 4212 4524 4698 5444 6786 8166 9396 10179 12249 13572 16332 17693 20358 24498 30537 35386 36747 39469 40716 48996 53079 61074 70772 73494 78938 106158 110241 118407 122148 146988 157876 159237 212316 220482 236814 318474 355221 440964 473628 477711 513097 636948 710442 955422 1026194 1065663 1420884 1433133 1539291 1910844 2052388 2131326 2866266 3078582 3196989 4262652 4617873 5732532 6157164 6393978 9235746 12787956 13853619 18471492 27707238 41560857 55414476 83121714 166243428