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20111364 = 22327213877
BaseRepresentation
bin100110010111…
…0000000000100
31101211202121100
41030232000010
520122030424
61555020100
7332641500
oct114560004
941752540
1020111364
1110396a69
12689a630
134222020
142957300
151b73dc9
hex132e004

20111364 has 108 divisors (see below), whose sum is σ = 63758604. Its totient is φ = 5298048.

The previous prime is 20111359. The next prime is 20111393. The reversal of 20111364 is 46311102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9922500 + 10188864 = 3150^2 + 3192^2 .

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22494 + ... + 23370.

Almost surely, 220111364 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 20111364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31879302).

20111364 is an abundant number, since it is smaller than the sum of its proper divisors (43647240).

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

20111364 is a wasteful number, since it uses less digits than its factorization.

20111364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20111364 is about 4484.5695445605. The cubic root of 20111364 is about 271.9446434349.

Adding to 20111364 its reverse (46311102), we get a palindrome (66422466).

It can be divided in two parts, 2011 and 1364, that added together give a cube (3375 = 153).

The spelling of 20111364 in words is "twenty million, one hundred eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 877 882 1092 1274 1638 1754 1764 1911 2548 2631 3276 3508 3822 5262 5733 6139 7644 7893 10524 11401 11466 12278 15786 18417 22802 22932 24556 31572 34203 36834 42973 45604 55251 68406 73668 79807 85946 102609 110502 128919 136812 159614 171892 205218 221004 239421 257838 319228 386757 410436 478842 515676 558649 718263 773514 957684 1117298 1436526 1547028 1675947 2234596 2873052 3351894 5027841 6703788 10055682 20111364