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530986320 = 24335293839
BaseRepresentation
bin11111101001100…
…011010101010000
31101000010220022000
4133221203111100
52041413030240
6124404514000
716105211034
oct3751432520
91330126260
10530986320
11252800977
121299ab900
1386013cb7
14507401c4
1531939430
hex1fa63550

530986320 has 160 divisors (see below), whose sum is σ = 1837382400. Its totient is φ = 140944896.

The previous prime is 530986319. The next prime is 530986333. The reversal of 530986320 is 23689035.

530986320 is a `hidden beast` number, since 530 + 98 + 6 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632461 + ... + 633299.

It is an arithmetic number, because the mean of its divisors is an integer number (11483640).

Almost surely, 2530986320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530986320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918691200).

530986320 is an abundant number, since it is smaller than the sum of its proper divisors (1306396080).

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

530986320 is a wasteful number, since it uses less digits than its factorization.

530986320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 530986320 is about 23043.1404109770. The cubic root of 530986320 is about 809.7689327184.

The spelling of 530986320 in words is "five hundred thirty million, nine hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 293 360 432 540 586 720 839 879 1080 1172 1465 1678 1758 2160 2344 2517 2637 2930 3356 3516 4195 4395 4688 5034 5274 5860 6712 7032 7551 7911 8390 8790 10068 10548 11720 12585 13185 13424 14064 15102 15822 16780 17580 20136 21096 22653 23440 25170 26370 30204 31644 33560 35160 37755 39555 40272 42192 45306 50340 52740 60408 63288 67120 70320 75510 79110 90612 100680 105480 113265 120816 126576 151020 158220 181224 201360 210960 226530 245827 302040 316440 362448 453060 491654 604080 632880 737481 906120 983308 1229135 1474962 1812240 1966616 2212443 2458270 2949924 3687405 3933232 4424886 4916540 5899848 6637329 7374810 8849772 9833080 11062215 11799696 13274658 14749620 17699544 19666160 22124430 26549316 29499240 33186645 35399088 44248860 53098632 58998480 66373290 88497720 106197264 132746580 176995440 265493160 530986320