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20025200 = 2452133851
BaseRepresentation
bin100110001100…
…0111101110000
31101200101102002
41030120331300
520111301300
61553113132
7332132336
oct114307560
941611362
1020025200
1110338258
1268587a8
1341c1a40
142933b56
151b585d5
hex1318f70

20025200 has 60 divisors (see below), whose sum is σ = 51824808. Its totient is φ = 7392000.

The previous prime is 20025199. The next prime is 20025209. The reversal of 20025200 is 252002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20025209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3275 + ... + 7125.

Almost surely, 220025200 is an apocalyptic number.

20025200 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 20025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25912404).

20025200 is an abundant number, since it is smaller than the sum of its proper divisors (31799608).

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

20025200 is a wasteful number, since it uses less digits than its factorization.

20025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3871 counting only the distinct ones).

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

The square root of 20025200 is about 4474.9525137145. The cubic root of 20025200 is about 271.5557193506. Note that the first 3 decimals are identical.

Adding to 20025200 its reverse (252002), we get a palindrome (20277202).

The spelling of 20025200 in words is "twenty million, twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 3851 5200 7702 15404 19255 30808 38510 50063 61616 77020 96275 100126 154040 192550 200252 250315 308080 385100 400504 500630 770200 801008 1001260 1251575 1540400 2002520 2503150 4005040 5006300 10012600 20025200