Search a number
-
+
530357280 = 25351397949
BaseRepresentation
bin11111100111001…
…001110000100000
31100221221221102020
4133213021300200
52041232413110
6124343221440
716066651065
oct3747116040
91327857366
10530357280
11252411302
12129747880
1385b5389b
1450618c6c
1531862d70
hex1f9c9c20

530357280 has 96 divisors (see below), whose sum is σ = 1682856000. Its totient is φ = 140393472.

The previous prime is 530357231. The next prime is 530357281. The reversal of 530357280 is 82753035.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (530357281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62746 + ... + 70694.

It is an arithmetic number, because the mean of its divisors is an integer number (17529750).

Almost surely, 2530357280 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 530357280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841428000).

530357280 is an abundant number, since it is smaller than the sum of its proper divisors (1152498720).

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

530357280 is a wasteful number, since it uses less digits than its factorization.

530357280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8106 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 530357280 is about 23029.4871849114. The cubic root of 530357280 is about 809.4490385205.

The spelling of 530357280 in words is "five hundred thirty million, three hundred fifty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 240 278 417 480 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 4448 5560 6672 7949 8340 11120 13344 15898 16680 22240 23847 31796 33360 39745 47694 63592 66720 79490 95388 119235 127184 158980 190776 238470 254368 317960 381552 476940 635920 763104 953880 1104911 1271840 1907760 2209822 3314733 3815520 4419644 5524555 6629466 8839288 11049110 13258932 16573665 17678576 22098220 26517864 33147330 35357152 44196440 53035728 66294660 88392880 106071456 132589320 176785760 265178640 530357280