Search a number
-
+
20017452 = 22371323797
BaseRepresentation
bin100110001011…
…1000100101100
31101122222210010
41030113010230
520111024302
61553013220
7332100630
oct114270454
941588703
1020017452
1110332454
126854210
1341bb360
142930dc0
151b5616c
hex131712c

20017452 has 96 divisors (see below), whose sum is σ = 60060672. Its totient is φ = 5043456.

The previous prime is 20017451. The next prime is 20017457. The reversal of 20017452 is 25471002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20017451) 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 31 ways as a sum of consecutive naturals, for example, 24718 + ... + 25514.

It is an arithmetic number, because the mean of its divisors is an integer number (625632).

Almost surely, 220017452 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 20017452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30030336).

20017452 is an abundant number, since it is smaller than the sum of its proper divisors (40043220).

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

20017452 is a wasteful number, since it uses less digits than its factorization.

20017452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 20017452 is about 4474.0867224496. The cubic root of 20017452 is about 271.5206920661.

Adding to 20017452 its reverse (25471002), we get a palindrome (45488454).

It can be divided in two parts, 2001 and 7452, that added together give a triangular number (9453 = T137).

The spelling of 20017452 in words is "twenty million, seventeen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 483 546 598 644 797 897 966 1092 1196 1594 1794 1932 2093 2391 3188 3588 4186 4782 5579 6279 8372 9564 10361 11158 12558 16737 18331 20722 22316 25116 31083 33474 36662 41444 54993 62166 66948 72527 73324 109986 124332 128317 145054 217581 219972 238303 256634 290108 384951 435162 476606 513268 714909 769902 870324 953212 1429818 1539804 1668121 2859636 3336242 5004363 6672484 10008726 20017452