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20541312 = 2732111621
BaseRepresentation
bin100111001011…
…0111110000000
31102122121101100
41032112332000
520224310222
62012134400
7336412131
oct116267600
942577340
1020541312
111065aaa0
126a67400
13434292c
142a29c88
151c0b4ac
hex1396f80

20541312 has 96 divisors (see below), whose sum is σ = 64523160. Its totient is φ = 6220800.

The previous prime is 20541307. The next prime is 20541317. The reversal of 20541312 is 21314502.

It is an interprime number because it is at equal distance from previous prime (20541307) and next prime (20541317).

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20541317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11862 + ... + 13482.

Almost surely, 220541312 is an apocalyptic number.

20541312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32261580).

20541312 is an abundant number, since it is smaller than the sum of its proper divisors (43981848).

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

20541312 is a wasteful number, since it uses less digits than its factorization.

20541312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20541312 is about 4532.2524201549. The cubic root of 20541312 is about 273.8689056226.

Adding to 20541312 its reverse (21314502), we get a palindrome (41855814).

The spelling of 20541312 in words is "twenty million, five hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 1621 2112 3168 3242 4224 4863 6336 6484 9726 12672 12968 14589 17831 19452 25936 29178 35662 38904 51872 53493 58356 71324 77808 103744 106986 116712 142648 155616 160479 207488 213972 233424 285296 311232 320958 427944 466848 570592 622464 641916 855888 933696 1141184 1283832 1711776 1867392 2282368 2567664 3423552 5135328 6847104 10270656 20541312