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20305452 = 22319293783
BaseRepresentation
bin100110101110…
…1011000101100
31102012121211210
41031131120230
520144233302
62003114420
7334410366
oct115353054
942177753
1020305452
1110509872
126972a10
13428c47b
1429a7d36
151bb166c
hex135d62c

20305452 has 96 divisors (see below), whose sum is σ = 53625600. Its totient is φ = 5951232.

The previous prime is 20305451. The next prime is 20305459. The reversal of 20305452 is 25450302.

It is a super-2 number, since 2×203054522 = 824622761848608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20305451) 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, 244603 + ... + 244685.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 220305452 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 20305452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812800).

20305452 is an abundant number, since it is smaller than the sum of its proper divisors (33320148).

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

20305452 is a wasteful number, since it uses less digits than its factorization.

20305452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 20305452 is about 4506.1571210955. The cubic root of 20305452 is about 272.8166596294.

Adding to 20305452 its reverse (25450302), we get a palindrome (45755754).

The spelling of 20305452 in words is "twenty million, three hundred five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 29 37 38 57 58 74 76 83 87 111 114 116 148 166 174 222 228 249 332 348 444 498 551 703 996 1073 1102 1406 1577 1653 2109 2146 2204 2407 2812 3071 3154 3219 3306 4218 4292 4731 4814 6142 6308 6438 6612 7221 8436 9213 9462 9628 12284 12876 14442 18426 18924 20387 28884 36852 40774 45733 58349 61161 81548 89059 91466 116698 122322 137199 175047 178118 182932 233396 244644 267177 274398 350094 356236 534354 548796 700188 1068708 1692121 3384242 5076363 6768484 10152726 20305452