Search a number
-
+
169330128 = 243111916879
BaseRepresentation
bin10100001011111…
…00010111010000
3102210121212021020
422011330113100
5321322031003
624445155440
74124165562
oct1205742720
9383555236
10169330128
1187645260
124885bb80
1329109456
14186bb332
15ecebd53
hexa17c5d0

169330128 has 80 divisors (see below), whose sum is σ = 502348800. Its totient is φ = 48608640.

The previous prime is 169330121. The next prime is 169330169. The reversal of 169330128 is 821033961.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169330121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1593 + ... + 18471.

It is an arithmetic number, because the mean of its divisors is an integer number (6279360).

Almost surely, 2169330128 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 169330128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251174400).

169330128 is an abundant number, since it is smaller than the sum of its proper divisors (333018672).

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

169330128 is a wasteful number, since it uses less digits than its factorization.

169330128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16920 (or 16914 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 169330128 is about 13012.6910360617. The cubic root of 169330128 is about 553.2372478761.

The spelling of 169330128 in words is "one hundred sixty-nine million, three hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 16879 33758 50637 67516 101274 135032 185669 202548 270064 320701 371338 405096 557007 641402 742676 810192 962103 1114014 1282804 1485352 1924206 2228028 2565608 2970704 3527711 3848412 4456056 5131216 7055422 7696824 8912112 10583133 14110844 15393648 21166266 28221688 42332532 56443376 84665064 169330128