Search a number
-
+
166838364 = 2232711139433
BaseRepresentation
bin10011111000111…
…00000001011100
3102121221021012200
421330130001130
5320202311424
624315531500
74064050140
oct1174340134
9377837180
10166838364
11861a3150
1247a59b90
1328746234
141822d220
15e9a88c9
hex9f1c05c

166838364 has 144 divisors (see below), whose sum is σ = 530799360. Its totient is φ = 42923520.

The previous prime is 166838341. The next prime is 166838377. The reversal of 166838364 is 463838661.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 385092 + ... + 385524.

Almost surely, 2166838364 is an apocalyptic number.

166838364 is a gapful number since it is divisible by the number (14) 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 166838364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265399680).

166838364 is an abundant number, since it is smaller than the sum of its proper divisors (363960996).

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

166838364 is a wasteful number, since it uses less digits than its factorization.

166838364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 595 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 166838364 is about 12916.5925847338. The cubic root of 166838364 is about 550.5101206602.

The spelling of 166838364 in words is "one hundred sixty-six million, eight hundred thirty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 139 154 198 231 252 278 308 396 417 433 462 556 693 834 866 924 973 1251 1299 1386 1529 1668 1732 1946 2502 2598 2772 2919 3031 3058 3892 3897 4587 4763 5004 5196 5838 6062 6116 7794 8757 9093 9174 9526 10703 11676 12124 13761 14289 15588 17514 18186 18348 19052 21406 27279 27522 28578 32109 33341 35028 36372 42812 42867 54558 55044 57156 60187 64218 66682 85734 96327 100023 109116 120374 128436 133364 171468 180561 192654 200046 240748 300069 361122 385308 400092 421309 541683 600138 662057 722244 842618 1083366 1200276 1263927 1324114 1685236 1986171 2166732 2527854 2648228 3791781 3972342 4634399 5055708 5958513 7583562 7944684 9268798 11917026 13903197 15167124 18537596 23834052 27806394 41709591 55612788 83419182 166838364