Search a number
-
+
445235130 = 23455231051
BaseRepresentation
bin11010100010011…
…011111110111010
31011000210021210000
4122202123332322
51402440011010
6112102533430
714014302414
oct3242337672
91130707700
10445235130
1120936181a
12105137276
137131bc52
14431bb9b4
152914b7c0
hex1a89bfba

445235130 has 80 divisors (see below), whose sum is σ = 1200618144. Its totient is φ = 118389600.

The previous prime is 445235123. The next prime is 445235149. The reversal of 445235130 is 31532544.

445235130 is a `hidden beast` number, since 4 + 4 + 523 + 5 + 130 = 666.

It is a super-2 number, since 2×4452351302 = 396468641972233800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 445235094 and 445235103.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 423105 + ... + 424155.

Almost surely, 2445235130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445235130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600309072).

445235130 is an abundant number, since it is smaller than the sum of its proper divisors (755383014).

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

445235130 is a wasteful number, since it uses less digits than its factorization.

445235130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 445235130 is about 21100.5954892273. The cubic root of 445235130 is about 763.5951147710.

Adding to 445235130 its reverse (31532544), we get a palindrome (476767674).

The spelling of 445235130 in words is "four hundred forty-five million, two hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 523 810 1046 1051 1569 2102 2615 3138 3153 4707 5230 5255 6306 7845 9414 9459 10510 14121 15690 15765 18918 23535 28242 28377 31530 42363 47070 47295 56754 70605 84726 85131 94590 141210 141885 170262 211815 283770 423630 425655 549673 851310 1099346 1649019 2748365 3298038 4947057 5496730 8245095 9894114 14841171 16490190 24735285 29682342 44523513 49470570 74205855 89047026 148411710 222617565 445235130