Search a number
-
+
164669616 = 243217137491
BaseRepresentation
bin10011101000010…
…10100010110000
3102110212002020200
421310022202300
5314123411431
624201235200
74036445226
oct1164124260
9373762220
10164669616
1184a517a1
1247192b00
1328167057
1417c26b16
15e6caee6
hex9d0a8b0

164669616 has 120 divisors (see below), whose sum is σ = 492517584. Its totient is φ = 51179520.

The previous prime is 164669611. The next prime is 164669657. The reversal of 164669616 is 616966461.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (164669611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335131 + ... + 335621.

Almost surely, 2164669616 is an apocalyptic number.

164669616 is a gapful number since it is divisible by the number (16) 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 164669616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246258792).

164669616 is an abundant number, since it is smaller than the sum of its proper divisors (327847968).

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

164669616 is a wasteful number, since it uses less digits than its factorization.

164669616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 650 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 164669616 is about 12832.3659548814. The cubic root of 164669616 is about 548.1143313761.

The spelling of 164669616 in words is "one hundred sixty-four million, six hundred sixty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 137 144 153 204 272 274 306 408 411 491 548 612 816 822 982 1096 1224 1233 1473 1644 1964 2192 2329 2448 2466 2946 3288 3928 4419 4658 4932 5892 6576 6987 7856 8347 8838 9316 9864 11784 13974 16694 17676 18632 19728 20961 23568 25041 27948 33388 35352 37264 41922 50082 55896 66776 67267 70704 75123 83844 100164 111792 133552 134534 150246 167688 200328 201801 269068 300492 335376 400656 403602 538136 600984 605403 807204 1076272 1143539 1201968 1210806 1614408 2287078 2421612 3228816 3430617 4574156 4843224 6861234 9148312 9686448 10291851 13722468 18296624 20583702 27444936 41167404 54889872 82334808 164669616