Search a number
-
+
530985300 = 223522237937
BaseRepresentation
bin11111101001100…
…011000101010100
31101000010211220020
4133221203011110
52041413012200
6124404505140
716105205046
oct3751430524
91330124806
10530985300
1125280012a
121299ab1b0
13860136b1
145073da96
1531938ea0
hex1fa63154

530985300 has 72 divisors (see below), whose sum is σ = 1543401216. Its totient is φ = 140943360.

The previous prime is 530985289. The next prime is 530985311. The reversal of 530985300 is 3589035.

It is an interprime number because it is at equal distance from previous prime (530985289) and next prime (530985311).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62932 + ... + 70868.

It is an arithmetic number, because the mean of its divisors is an integer number (21436128).

Almost surely, 2530985300 is an apocalyptic number.

530985300 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 530985300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771700608).

530985300 is an abundant number, since it is smaller than the sum of its proper divisors (1012415916).

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

530985300 is a wasteful number, since it uses less digits than its factorization.

530985300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8177 (or 8170 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 530985300 is about 23043.1182785664. The cubic root of 530985300 is about 809.7684142086.

It can be divided in two parts, 5309 and 85300, that added together give a palindrome (90609).

The spelling of 530985300 in words is "five hundred thirty million, nine hundred eighty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 223 300 446 669 892 1115 1338 2230 2676 3345 4460 5575 6690 7937 11150 13380 15874 16725 22300 23811 31748 33450 39685 47622 66900 79370 95244 119055 158740 198425 238110 396850 476220 595275 793700 1190550 1769951 2381100 3539902 5309853 7079804 8849755 10619706 17699510 21239412 26549265 35399020 44248775 53098530 88497550 106197060 132746325 176995100 265492650 530985300