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20525280 = 253561701
BaseRepresentation
bin100111001001…
…1000011100000
31102121210101120
41032103003200
520223302110
62011532240
7336314316
oct116230340
942553346
1020525280
1110649a46
126a5a080
134338549
142a240b6
151c06870
hex13930e0

20525280 has 96 divisors (see below), whose sum is σ = 65808288. Its totient is φ = 5376000.

The previous prime is 20525261. The next prime is 20525287. The reversal of 20525280 is 8252502.

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 self number, because there is not a number n which added to its sum of digits gives 20525280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20525287) 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, 28930 + ... + 29630.

It is an arithmetic number, because the mean of its divisors is an integer number (685503).

Almost surely, 220525280 is an apocalyptic number.

20525280 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 20525280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32904144).

20525280 is an abundant number, since it is smaller than the sum of its proper divisors (45283008).

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

20525280 is a wasteful number, since it uses less digits than its factorization.

20525280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 20525280 is about 4530.4834179147. The cubic root of 20525280 is about 273.7976377137.

Adding to 20525280 its reverse (8252502), we get a palindrome (28777782).

The spelling of 20525280 in words is "twenty million, five hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 701 732 915 976 1220 1402 1464 1830 1952 2103 2440 2804 2928 3505 3660 4206 4880 5608 5856 7010 7320 8412 9760 10515 11216 14020 14640 16824 21030 22432 28040 29280 33648 42060 42761 56080 67296 84120 85522 112160 128283 168240 171044 213805 256566 336480 342088 427610 513132 641415 684176 855220 1026264 1282830 1368352 1710440 2052528 2565660 3420880 4105056 5131320 6841760 10262640 20525280