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531200000 = 2115583
BaseRepresentation
bin11111101010010…
…111100000000000
31101000112202102002
4133222113200000
52041441400000
6124413243132
716110061022
oct3752274000
91330482362
10531200000
11252937471
12129a934a8
138608a336
1450798012
153197c8d5
hex1fa97800

531200000 has 144 divisors (see below), whose sum is σ = 1343585880. Its totient is φ = 209920000.

The previous prime is 531199993. The next prime is 531200011. The reversal of 531200000 is 2135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6399959 + ... + 6400041.

Almost surely, 2531200000 is an apocalyptic number.

531200000 is a gapful number since it is divisible by the number (50) 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 531200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671792940).

531200000 is an abundant number, since it is smaller than the sum of its proper divisors (812385880).

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

531200000 is an frugal number, since it uses more digits than its factorization.

531200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 531200000 is about 23047.7764654207. The cubic root of 531200000 is about 809.8775408022.

Adding to 531200000 its reverse (2135), we get a palindrome (531202135).

The spelling of 531200000 in words is "five hundred thirty-one million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 125 128 160 166 200 250 256 320 332 400 415 500 512 625 640 664 800 830 1000 1024 1250 1280 1328 1600 1660 2000 2048 2075 2500 2560 2656 3125 3200 3320 4000 4150 5000 5120 5312 6250 6400 6640 8000 8300 10000 10240 10375 10624 12500 12800 13280 16000 16600 20000 20750 21248 25000 25600 26560 32000 33200 40000 41500 42496 50000 51200 51875 53120 64000 66400 80000 83000 84992 100000 103750 106240 128000 132800 160000 166000 169984 200000 207500 212480 256000 259375 265600 320000 332000 400000 415000 424960 518750 531200 640000 664000 800000 830000 849920 1037500 1062400 1280000 1328000 1600000 1660000 2075000 2124800 2656000 3200000 3320000 4150000 4249600 5312000 6400000 6640000 8300000 10624000 13280000 16600000 21248000 26560000 33200000 53120000 66400000 106240000 132800000 265600000 531200000