Search a number
-
+
20123168 = 25132612
BaseRepresentation
bin100110011000…
…0111000100000
31101212100210112
41030300320200
520122420133
61555150452
7333021062
oct114607040
941770715
1020123168
11103a491a
1268a5428
134227500
14295b732
151b77648
hex1330e20

20123168 has 54 divisors (see below), whose sum is σ = 43614207. Its totient is φ = 9135360.

The previous prime is 20123149. The next prime is 20123171. The reversal of 20123168 is 86132102.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 868624 + 19254544 = 932^2 + 4388^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3172.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 329858 + ... + 329918.

Almost surely, 220123168 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 20123168

20123168 is an abundant number, since it is smaller than the sum of its proper divisors (23491039).

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

20123168 is an equidigital number, since it uses as much as digits as its factorization.

20123168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 20123168 is about 4485.8854198475. The cubic root of 20123168 is about 271.9978373530.

The spelling of 20123168 in words is "twenty million, one hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 169 208 244 338 416 488 676 793 976 1352 1586 1952 2704 3172 3721 5408 6344 7442 10309 12688 14884 20618 25376 29768 41236 48373 59536 82472 96746 119072 164944 193492 329888 386984 628849 773968 1257698 1547936 2515396 5030792 10061584 20123168