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20252000 = 25536183
BaseRepresentation
bin100110101000…
…0010101100000
31102002220112002
41031100111200
520141031000
62002023132
7334065506
oct115202540
942086462
1020252000
111048269a
126947aa8
134271042
142992676
151ba08d5
hex1350560

20252000 has 96 divisors (see below), whose sum is σ = 51184224. Its totient is φ = 7872000.

The previous prime is 20251993. The next prime is 20252017. The reversal of 20252000 is 25202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243959 + ... + 244041.

It is an arithmetic number, because the mean of its divisors is an integer number (533169).

Almost surely, 220252000 is an apocalyptic number.

20252000 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 20252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112).

20252000 is an abundant number, since it is smaller than the sum of its proper divisors (30932224).

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

20252000 is an equidigital number, since it uses as much as digits as its factorization.

20252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 20252000 is about 4500.2222167355. Note that the first 4 decimals coincide. The cubic root of 20252000 is about 272.5770620644.

Adding to 20252000 its reverse (25202), we get a palindrome (20277202).

The spelling of 20252000 in words is "twenty million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 83 100 122 125 160 166 200 244 250 305 332 400 415 488 500 610 664 800 830 976 1000 1220 1328 1525 1660 1952 2000 2075 2440 2656 3050 3320 4000 4150 4880 5063 6100 6640 7625 8300 9760 10126 10375 12200 13280 15250 16600 20252 20750 24400 25315 30500 33200 40504 41500 48800 50630 61000 66400 81008 83000 101260 122000 126575 162016 166000 202520 244000 253150 332000 405040 506300 632875 810080 1012600 1265750 2025200 2531500 4050400 5063000 10126000 20252000