[go: up one dir, main page]

Search a number
-
+
20354292 = 2232737259
BaseRepresentation
bin100110110100…
…1010011110100
31102022002211200
41031221103310
520202314132
62004132500
7335002650
oct115512364
942262750
1020354292
1110542532
126997130
1342a877a
1429bba60
151bc0d7c
hex13694f4

20354292 has 108 divisors (see below), whose sum is σ = 61457760. Its totient is φ = 5562432.

The previous prime is 20354291. The next prime is 20354303. The reversal of 20354292 is 29245302.

20354292 is a `hidden beast` number, since 20 + 354 + 292 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20354291) 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 35 ways as a sum of consecutive naturals, for example, 344959 + ... + 345017.

Almost surely, 220354292 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 20354292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30728880).

20354292 is an abundant number, since it is smaller than the sum of its proper divisors (41103468).

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

20354292 is a wasteful number, since it uses less digits than its factorization.

20354292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20354292 is about 4511.5731181041. The cubic root of 20354292 is about 273.0352166460.

Adding to 20354292 its reverse (29245302), we get a palindrome (49599594).

The spelling of 20354292 in words is "twenty million, three hundred fifty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 59 63 74 84 111 118 126 148 177 222 236 252 259 333 354 413 444 518 531 666 708 777 826 1036 1062 1239 1332 1369 1554 1652 2124 2183 2331 2478 2738 3108 3717 4107 4366 4662 4956 5476 6549 7434 8214 8732 9324 9583 12321 13098 14868 15281 16428 19166 19647 24642 26196 28749 30562 38332 39294 45843 49284 57498 61124 78588 80771 86247 91686 114996 137529 161542 172494 183372 242313 275058 323084 344988 484626 550116 565397 726939 969252 1130794 1453878 1696191 2261588 2907756 3392382 5088573 6784764 10177146 20354292