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445120 = 26513107
BaseRepresentation
bin1101100101011000000
3211121120221
41230223000
5103220440
613312424
73532504
oct1545300
9747527
10445120
11284475
12195714
131277b0
14b8304
158bd4a
hex6cac0

445120 has 56 divisors (see below), whose sum is σ = 1152144. Its totient is φ = 162816.

The previous prime is 445103. The next prime is 445141. The reversal of 445120 is 21544.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 445094 and 445103.

It is an unprimeable number.

445120 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 7 ways as a sum of consecutive naturals, for example, 4107 + ... + 4213.

It is an arithmetic number, because the mean of its divisors is an integer number (20574).

2445120 is an apocalyptic number.

445120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576072).

445120 is an abundant number, since it is smaller than the sum of its proper divisors (707024).

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

445120 is a wasteful number, since it uses less digits than its factorization.

445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 445120 is about 667.1731409462. The cubic root of 445120 is about 76.3529291660.

Adding to 445120 its reverse (21544), we get a palindrome (466664).

It can be divided in two parts, 445 and 120, that added together give a palindrome (565).

The spelling of 445120 in words is "four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 107 130 160 208 214 260 320 416 428 520 535 832 856 1040 1070 1391 1712 2080 2140 2782 3424 4160 4280 5564 6848 6955 8560 11128 13910 17120 22256 27820 34240 44512 55640 89024 111280 222560 445120