Search a number
-
+
166350912 = 2637139521
BaseRepresentation
bin10011110101001…
…01000001000000
3102121000111112220
421322211001000
5320041212122
624301251040
74056650040
oct1172450100
9377014486
10166350912
118599a9a2
1247863a80
13286053c0
1418143720
15e90e25c
hex9ea5040

166350912 has 112 divisors (see below), whose sum is σ = 541763712. Its totient is φ = 43868160.

The previous prime is 166350887. The next prime is 166350949. The reversal of 166350912 is 219053661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12712 + ... + 22232.

It is an arithmetic number, because the mean of its divisors is an integer number (4837176).

Almost surely, 2166350912 is an apocalyptic number.

166350912 is a gapful number since it is divisible by the number (12) 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 166350912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270881856).

166350912 is an abundant number, since it is smaller than the sum of its proper divisors (375412800).

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

166350912 is a wasteful number, since it uses less digits than its factorization.

166350912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9556 (or 9546 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 166350912 is about 12897.7095641048. The cubic root of 166350912 is about 549.9734554682.

The spelling of 166350912 in words is "one hundred sixty-six million, three hundred fifty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 9521 17472 19042 28563 38084 57126 66647 76168 114252 123773 133294 152336 199941 228504 247546 266588 304672 371319 399882 457008 495092 533176 609344 742638 799764 866411 914016 990184 1066352 1485276 1599528 1732822 1828032 1980368 2132704 2599233 2970552 3199056 3465644 3960736 4265408 5198466 5941104 6398112 6931288 7921472 10396932 11882208 12796224 13862576 20793864 23764416 27725152 41587728 55450304 83175456 166350912