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20025824 = 257132232
BaseRepresentation
bin100110001100…
…1000111100000
31101200102021012
41030121013200
520111311244
61553120052
7332134220
oct114310740
941612235
1020025824
1110338775
126859028
1341c2100
142934080
151b5889e
hex13191e0

20025824 has 108 divisors (see below), whose sum is σ = 51004296. Its totient is φ = 7577856.

The previous prime is 20025823. The next prime is 20025833. The reversal of 20025824 is 42852002.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 20025824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20025823) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 870677 + ... + 870699.

It is an arithmetic number, because the mean of its divisors is an integer number (472262).

Almost surely, 220025824 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 20025824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25502148).

20025824 is an abundant number, since it is smaller than the sum of its proper divisors (30978472).

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

20025824 is a wasteful number, since it uses less digits than its factorization.

20025824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 20025824 is about 4475.0222345816. The cubic root of 20025824 is about 271.5585399467.

Adding to 20025824 its reverse (42852002), we get a palindrome (62877826).

The spelling of 20025824 in words is "twenty million, twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 91 92 104 112 161 169 182 184 208 224 299 322 338 364 368 416 529 598 644 676 728 736 1058 1183 1196 1288 1352 1456 2093 2116 2366 2392 2576 2704 2912 3703 3887 4186 4232 4732 4784 5152 5408 6877 7406 7774 8372 8464 9464 9568 13754 14812 15548 16744 16928 18928 27209 27508 29624 31096 33488 37856 48139 54418 55016 59248 62192 66976 89401 96278 108836 110032 118496 124384 178802 192556 217672 220064 357604 385112 435344 625807 715208 770224 870688 1251614 1430416 1540448 2503228 2860832 5006456 10012912 20025824