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20245152 = 2532353173
BaseRepresentation
bin100110100111…
…0101010100000
31102002120010110
41031032222200
520140321102
62001531320
7334036524
oct115165240
942076113
1020245152
1110478534
126943b40
13426aba5
14298dd84
151b9d86c
hex134eaa0

20245152 has 96 divisors (see below), whose sum is σ = 56827008. Its totient is φ = 6296576.

The previous prime is 20245151. The next prime is 20245157. The reversal of 20245152 is 25154202.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20245151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116938 + ... + 117110.

It is an arithmetic number, because the mean of its divisors is an integer number (591948).

Almost surely, 220245152 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 20245152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28413504).

20245152 is an abundant number, since it is smaller than the sum of its proper divisors (36581856).

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

20245152 is a wasteful number, since it uses less digits than its factorization.

20245152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 20245152 is about 4499.4613010893. The cubic root of 20245152 is about 272.5463355823.

Adding to 20245152 its reverse (25154202), we get a palindrome (45399354).

It can be divided in two parts, 202 and 45152, that added together give a palindrome (45354).

The spelling of 20245152 in words is "twenty million, two hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 69 92 96 106 138 159 173 184 212 276 318 346 368 424 519 552 636 692 736 848 1038 1104 1219 1272 1384 1696 2076 2208 2438 2544 2768 3657 3979 4152 4876 5088 5536 7314 7958 8304 9169 9752 11937 14628 15916 16608 18338 19504 23874 27507 29256 31832 36676 39008 47748 55014 58512 63664 73352 95496 110028 117024 127328 146704 190992 210887 220056 293408 381984 421774 440112 632661 843548 880224 1265322 1687096 2530644 3374192 5061288 6748384 10122576 20245152