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445532130 = 23352716089
BaseRepresentation
bin11010100011100…
…100011111100010
31011001100101012000
4122203210133202
51403024012010
6112113144430
714016650331
oct3243443742
91131311160
10445532130
1120954497a
1210525b116
13713c41a4
1443257d18
15291a97c0
hex1a8e47e2

445532130 has 64 divisors (see below), whose sum is σ = 1192665600. Its totient is φ = 118350720.

The previous prime is 445532123. The next prime is 445532173. The reversal of 445532130 is 31235544.

445532130 is a `hidden beast` number, since 445 + 5 + 3 + 213 + 0 = 666.

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 = 445532094 and 445532103.

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, 70126 + ... + 76214.

It is an arithmetic number, because the mean of its divisors is an integer number (18635400).

Almost surely, 2445532130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445532130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596332800).

445532130 is an abundant number, since it is smaller than the sum of its proper divisors (747133470).

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

445532130 is a wasteful number, since it uses less digits than its factorization.

445532130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6370 counting only the distinct ones).

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

The square root of 445532130 is about 21107.6320320400. The cubic root of 445532130 is about 763.7648657821.

Adding to 445532130 its reverse (31235544), we get a palindrome (476767674).

It can be divided in two parts, 4455 and 32130, that added together give a triangular number (36585 = T270).

The spelling of 445532130 in words is "four hundred forty-five million, five hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 271 542 813 1355 1626 2439 2710 4065 4878 6089 7317 8130 12178 12195 14634 18267 24390 30445 36534 36585 54801 60890 73170 91335 109602 164403 182670 274005 328806 548010 822015 1644030 1650119 3300238 4950357 8250595 9900714 14851071 16501190 24751785 29702142 44553213 49503570 74255355 89106426 148510710 222766065 445532130