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530160 = 2435472
BaseRepresentation
bin10000001011011110000
3222221020120
42001123300
5113431120
615210240
74335441
oct2013360
9887216
10530160
11332354
12216980
13157407
14db2c8
15a7140
hex816f0

530160 has 60 divisors (see below), whose sum is σ = 1679208. Its totient is φ = 138368.

The previous prime is 530143. The next prime is 530177. The reversal of 530160 is 61035.

It is an interprime number because it is at equal distance from previous prime (530143) and next prime (530177).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11257 + ... + 11303.

2530160 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 530160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839604).

530160 is an abundant number, since it is smaller than the sum of its proper divisors (1149048).

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

530160 is a wasteful number, since it uses less digits than its factorization.

530160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 530160 is about 728.1208690870. The cubic root of 530160 is about 80.9348660960.

Multiplying 530160 by its sum of digits (15), we get a square (7952400 = 28202).

530160 divided by its sum of digits (15) gives a square (35344 = 1882).

Adding to 530160 its reverse (61035), we get a palindrome (591195).

The spelling of 530160 in words is "five hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2209 2256 2820 3760 4418 5640 6627 8836 11045 11280 13254 17672 22090 26508 33135 35344 44180 53016 66270 88360 106032 132540 176720 265080 530160