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20540364 = 22313353373
BaseRepresentation
bin100111001011…
…0101111001100
31102122120002020
41032112233030
520224242424
62012130140
7336406305
oct116265714
942576066
1020540364
111065a309
126a66950
134342380
142a297ac
151c0b079
hex1396bcc

20540364 has 48 divisors (see below), whose sum is σ = 51899232. Its totient is φ = 6285312.

The previous prime is 20540353. The next prime is 20540393. The reversal of 20540364 is 46304502.

It is a super-3 number, since 3×205403643 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54882 + ... + 55254.

It is an arithmetic number, because the mean of its divisors is an integer number (1081234).

Almost surely, 220540364 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 20540364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25949616).

20540364 is an abundant number, since it is smaller than the sum of its proper divisors (31358868).

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

20540364 is a wasteful number, since it uses less digits than its factorization.

20540364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 20540364 is about 4532.1478351881. The cubic root of 20540364 is about 273.8646924592.

Adding to 20540364 its reverse (46304502), we get a palindrome (66844866).

The spelling of 20540364 in words is "twenty million, five hundred forty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 353 373 706 746 1059 1119 1412 1492 2118 2238 4236 4476 4589 4849 9178 9698 13767 14547 18356 19396 27534 29094 55068 58188 131669 263338 395007 526676 790014 1580028 1711697 3423394 5135091 6846788 10270182 20540364