Search a number
-
+
20540256 = 2531153367
BaseRepresentation
bin100111001011…
…0101101100000
31102122112221020
41032112231200
520224242011
62012125440
7336406062
oct116265540
942575836
1020540256
111065a220
126a66880
1343422c9
142a29732
151c0b006
hex1396b60

20540256 has 96 divisors (see below), whose sum is σ = 60092928. Its totient is φ = 6090240.

The previous prime is 20540251. The next prime is 20540279. The reversal of 20540256 is 65204502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20540251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55785 + ... + 56151.

It is an arithmetic number, because the mean of its divisors is an integer number (625968).

Almost surely, 220540256 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 20540256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30046464).

20540256 is an abundant number, since it is smaller than the sum of its proper divisors (39552672).

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

20540256 is a wasteful number, since it uses less digits than its factorization.

20540256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 20540256 is about 4532.1359202919. The cubic root of 20540256 is about 273.8642124703.

Adding to 20540256 its reverse (65204502), we get a palindrome (85744758).

The spelling of 20540256 in words is "twenty million, five hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 367 424 528 583 636 734 848 1056 1101 1166 1272 1468 1696 1749 2202 2332 2544 2936 3498 4037 4404 4664 5088 5872 6996 8074 8808 9328 11744 12111 13992 16148 17616 18656 19451 24222 27984 32296 35232 38902 48444 55968 58353 64592 77804 96888 116706 129184 155608 193776 213961 233412 311216 387552 427922 466824 622432 641883 855844 933648 1283766 1711688 1867296 2567532 3423376 5135064 6846752 10270128 20540256