Search a number
-
+
161714916 = 223211439497
BaseRepresentation
bin10011010001110…
…01001011100100
3102021021222011100
421220321023210
5312344334131
624014040100
74002361026
oct1150711344
9367258140
10161714916
11833138a0
12461a9030
13276711cc
1417698016
15e2e57e6
hex9a392e4

161714916 has 72 divisors (see below), whose sum is σ = 456359904. Its totient is φ = 47859840.

The previous prime is 161714881. The next prime is 161714923. The reversal of 161714916 is 619417161.

161714916 is a `hidden beast` number, since 161 + 7 + 1 + 491 + 6 = 666.

161714916 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

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

161714916 is strictly pandigital in base 9.

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 23 ways as a sum of consecutive naturals, for example, 12280 + ... + 21776.

It is an arithmetic number, because the mean of its divisors is an integer number (6338332).

Almost surely, 2161714916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161714916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228179952).

161714916 is an abundant number, since it is smaller than the sum of its proper divisors (294644988).

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

161714916 is a wasteful number, since it uses less digits than its factorization.

161714916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9561 (or 9556 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 161714916 is about 12716.7179728104. The cubic root of 161714916 is about 544.8162172458.

The spelling of 161714916 in words is "one hundred sixty-one million, seven hundred fourteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2838 4257 5676 8514 9497 17028 18994 28491 37988 56982 85473 104467 113964 170946 208934 313401 341892 408371 417868 626802 816742 940203 1225113 1253604 1633484 1880406 2450226 3675339 3760812 4492081 4900452 7350678 8984162 13476243 14701356 17968324 26952486 40428729 53904972 80857458 161714916