Search a number
-
+
20712168 = 2332287669
BaseRepresentation
bin100111100000…
…0101011101000
31102222021202100
41033000223220
520300242133
62015533400
7341023221
oct117005350
942867670
1020712168
11107673a4
126b2a260
1343a2629
142a72248
151c41e13
hex13c0ae8

20712168 has 24 divisors (see below), whose sum is σ = 56095650. Its totient is φ = 6904032.

The previous prime is 20712163. The next prime is 20712187. The reversal of 20712168 is 86121702.

It can be written as a sum of positive squares in only one way, i.e., 11819844 + 8892324 = 3438^2 + 2982^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (20712163) 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 5 ways as a sum of consecutive naturals, for example, 143763 + ... + 143906.

Almost surely, 220712168 is an apocalyptic number.

It is an amenable number.

20712168 is an abundant number, since it is smaller than the sum of its proper divisors (35383482).

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

20712168 is a wasteful number, since it uses less digits than its factorization.

20712168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287681 (or 287674 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 20712168 is about 4551.0622935750. The cubic root of 20712168 is about 274.6261277504.

The spelling of 20712168 in words is "twenty million, seven hundred twelve thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 287669 575338 863007 1150676 1726014 2301352 2589021 3452028 5178042 6904056 10356084 20712168