Search a number
-
+
20306148 = 22323294359
BaseRepresentation
bin100110101110…
…1100011100100
31102012122210120
41031131203210
520144244043
62003121540
7334412412
oct115354344
942178716
1020306148
111050a345
1269732b0
13428c895
1429a82b2
151bb1983
hex135d8e4

20306148 has 96 divisors (see below), whose sum is σ = 53222400. Its totient is φ = 6002304.

The previous prime is 20306137. The next prime is 20306149. The reversal of 20306148 is 84160302.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20306149) 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 31 ways as a sum of consecutive naturals, for example, 344143 + ... + 344201.

It is an arithmetic number, because the mean of its divisors is an integer number (554400).

Almost surely, 220306148 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 20306148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26611200).

20306148 is an abundant number, since it is smaller than the sum of its proper divisors (32916252).

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

20306148 is a wasteful number, since it uses less digits than its factorization.

20306148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20306148 is about 4506.2343481004. The cubic root of 20306148 is about 272.8197766613.

The spelling of 20306148 in words is "twenty million, three hundred six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 29 43 46 58 59 69 86 87 92 116 118 129 138 172 174 177 236 258 276 348 354 516 667 708 989 1247 1334 1357 1711 1978 2001 2494 2537 2668 2714 2967 3422 3741 3956 4002 4071 4988 5074 5133 5428 5934 6844 7482 7611 8004 8142 10148 10266 11868 14964 15222 16284 20532 28681 30444 39353 57362 58351 73573 78706 86043 114724 116702 118059 147146 157412 172086 175053 220719 233404 236118 294292 344172 350106 441438 472236 700212 882876 1692179 3384358 5076537 6768716 10153074 20306148