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20512320 = 263523929
BaseRepresentation
bin100111000111…
…1111001000000
31102121010121120
41032033321000
520222343240
62011352240
7336231453
oct116177100
942533546
1020512320
1110640234
126a52680
13433268a
142a1d49a
151c02ad0
hex138fe40

20512320 has 112 divisors (see below), whose sum is σ = 68031360. Its totient is φ = 5226496.

The previous prime is 20512307. The next prime is 20512321. The reversal of 20512320 is 2321502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20512320.

It is not an unprimeable number, because it can be changed into a prime (20512321) 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, 21616 + ... + 22544.

Almost surely, 220512320 is an apocalyptic number.

20512320 is a gapful number since it is divisible by the number (20) 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 20512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34015680).

20512320 is an abundant number, since it is smaller than the sum of its proper divisors (47519040).

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

20512320 is a wasteful number, since it uses less digits than its factorization.

20512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20512320 is about 4529.0528811221. The cubic root of 20512320 is about 273.7399988006.

Adding to 20512320 its reverse (2321502), we get a palindrome (22833822).

It can be divided in two parts, 2051 and 2320, that added together give a triangular number (4371 = T93).

The spelling of 20512320 in words is "twenty million, five hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 929 960 1104 1380 1472 1840 1858 2208 2760 2787 3680 3716 4416 4645 5520 5574 7360 7432 9290 11040 11148 13935 14864 18580 21367 22080 22296 27870 29728 37160 42734 44592 55740 59456 64101 74320 85468 89184 106835 111480 128202 148640 170936 178368 213670 222960 256404 297280 320505 341872 427340 445920 512808 641010 683744 854680 891840 1025616 1282020 1367488 1709360 2051232 2564040 3418720 4102464 5128080 6837440 10256160 20512320