Search a number
-
+
445310130 = 235231394643
BaseRepresentation
bin11010100010101…
…110010010110010
31011000221002122210
4122202232102302
51402444411010
6112104312550
714015034156
oct3242562262
91130832583
10445310130
11209403101
12105172756
1371347125
14431db066
1529163b20
hex1a8ae4b2

445310130 has 64 divisors (see below), whose sum is σ = 1123476480. Its totient is φ = 112744896.

The previous prime is 445310119. The next prime is 445310141. The reversal of 445310130 is 31013544.

It is an interprime number because it is at equal distance from previous prime (445310119) and next prime (445310141).

It is a super-2 number, since 2×4453101302 = 396602223761233800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445310097 and 445310106.

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, 93589 + ... + 98231.

It is an arithmetic number, because the mean of its divisors is an integer number (17554320).

Almost surely, 2445310130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445310130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561738240).

445310130 is an abundant number, since it is smaller than the sum of its proper divisors (678166350).

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

445310130 is a wasteful number, since it uses less digits than its factorization.

445310130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 445310130 is about 21102.3726154193. The cubic root of 445310130 is about 763.6379883108.

Adding to 445310130 its reverse (31013544), we get a palindrome (476323674).

The spelling of 445310130 in words is "four hundred forty-five million, three hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 139 230 278 345 417 690 695 834 1390 2085 3197 4170 4643 6394 9286 9591 13929 15985 19182 23215 27858 31970 46430 47955 69645 95910 106789 139290 213578 320367 533945 640734 645377 1067890 1290754 1601835 1936131 3203670 3226885 3872262 6453770 9680655 14843671 19361310 29687342 44531013 74218355 89062026 148436710 222655065 445310130