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530137600 = 295283499
BaseRepresentation
bin11111100110010…
…100001000000000
31100221112210001221
4133212110020000
52041203400400
6124334404424
716065044446
oct3746241000
91327483057
10530137600
11252281253
12129660714
1385aa78b5
145059cb96
153181cc1a
hex1f994200

530137600 has 120 divisors (see below), whose sum is σ = 1331946000. Its totient is φ = 209080320.

The previous prime is 530137577. The next prime is 530137609. The reversal of 530137600 is 6731035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (530137609) 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 11 ways as a sum of consecutive naturals, for example, 1062151 + ... + 1062649.

It is an arithmetic number, because the mean of its divisors is an integer number (11099550).

Almost surely, 2530137600 is an apocalyptic number.

530137600 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 530137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665973000).

530137600 is an abundant number, since it is smaller than the sum of its proper divisors (801808400).

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

530137600 is an equidigital number, since it uses as much as digits as its factorization.

530137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 530137600 is about 23024.7171535287. The cubic root of 530137600 is about 809.3372620956.

Adding to 530137600 its reverse (6731035), we get a palindrome (536868635).

The spelling of 530137600 in words is "five hundred thirty million, one hundred thirty-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 128 160 166 200 256 320 332 400 415 499 512 640 664 800 830 998 1280 1328 1600 1660 1996 2075 2495 2560 2656 3200 3320 3992 4150 4990 5312 6400 6640 7984 8300 9980 10624 12475 12800 13280 15968 16600 19960 21248 24950 26560 31936 33200 39920 41417 42496 49900 53120 63872 66400 79840 82834 99800 106240 127744 132800 159680 165668 199600 207085 212480 255488 265600 319360 331336 399200 414170 531200 638720 662672 798400 828340 1035425 1062400 1277440 1325344 1596800 1656680 2070850 2650688 3193600 3313360 4141700 5301376 6387200 6626720 8283400 10602752 13253440 16566800 21205504 26506880 33133600 53013760 66267200 106027520 132534400 265068800 530137600