Search a number
-
+
410130 = 23357231
BaseRepresentation
bin1100100001000010010
3202211121000
41210020102
5101111010
612442430
73325500
oct1441022
9684530
10410130
11260156
12179416
131148a6
14a9670
15817c0
hex64212

410130 has 96 divisors (see below), whose sum is σ = 1313280. Its totient is φ = 90720.

The previous prime is 410119. The next prime is 410141. The reversal of 410130 is 31014.

410130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (410119) and next prime (410141).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

410130 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13215 + ... + 13245.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2410130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656640).

410130 is an abundant number, since it is smaller than the sum of its proper divisors (903150).

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

410130 is a wasteful number, since it uses less digits than its factorization.

410130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 410130 is about 640.4139286430. The cubic root of 410130 is about 74.2974393299.

Adding to 410130 its reverse (31014), we get a palindrome (441144).

The spelling of 410130 in words is "four hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 49 54 62 63 70 90 93 98 105 126 135 147 155 186 189 210 217 245 270 279 294 310 315 378 434 441 465 490 558 630 651 735 837 882 930 945 1085 1302 1323 1395 1470 1519 1674 1890 1953 2170 2205 2646 2790 3038 3255 3906 4185 4410 4557 5859 6510 6615 7595 8370 9114 9765 11718 13230 13671 15190 19530 22785 27342 29295 41013 45570 58590 68355 82026 136710 205065 410130