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20130552 = 23331367107
BaseRepresentation
bin100110011001…
…0101011111000
31101212201221000
41030302223320
520123134202
61555245000
7333051441
oct114625370
941781830
1020130552
11103aa422
1268a9760
13422a990
1429602c8
151b7991c
hex1332af8

20130552 has 128 divisors (see below), whose sum is σ = 61689600. Its totient is φ = 6044544.

The previous prime is 20130547. The next prime is 20130569. The reversal of 20130552 is 25503102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 188083 + ... + 188189.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 220130552 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 20130552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844800).

20130552 is an abundant number, since it is smaller than the sum of its proper divisors (41559048).

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

20130552 is a wasteful number, since it uses less digits than its factorization.

20130552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20130552 is about 4486.7083702866. The cubic root of 20130552 is about 272.0311022681.

Adding to 20130552 its reverse (25503102), we get a palindrome (45633654).

The spelling of 20130552 in words is "twenty million, one hundred thirty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 67 72 78 104 107 108 117 134 156 201 214 216 234 268 312 321 351 402 428 468 536 603 642 702 804 856 871 936 963 1206 1284 1391 1404 1608 1742 1809 1926 2412 2568 2613 2782 2808 2889 3484 3618 3852 4173 4824 5226 5564 5778 6968 7169 7236 7704 7839 8346 10452 11128 11556 12519 14338 14472 15678 16692 20904 21507 23112 23517 25038 28676 31356 33384 37557 43014 47034 50076 57352 62712 64521 75114 86028 93197 94068 100152 129042 150228 172056 186394 188136 193563 258084 279591 300456 372788 387126 516168 559182 745576 774252 838773 1118364 1548504 1677546 2236728 2516319 3355092 5032638 6710184 10065276 20130552