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1445272000 = 26531710627
BaseRepresentation
bin101011000100101…
…0001100111000000
310201201112102110121
41112021101213000
510424442201000
6355225110024
750546415664
oct12611214700
93651472417
101445272000
11681900277
12344028314
131a056cb43
14d9d388a4
1586d38b1a
hex562519c0

1445272000 has 112 divisors (see below), whose sum is σ = 3790114848. Its totient is φ = 544051200.

The previous prime is 1445271977. The next prime is 1445272007. The reversal of 1445272000 is 2725441.

It is a super-2 number, since 2×14452720002 = 4177622307968000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445272007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130687 + ... + 141313.

Almost surely, 21445272000 is an apocalyptic number.

1445272000 is a gapful number since it is divisible by the number (10) 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 1445272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895057424).

1445272000 is an abundant number, since it is smaller than the sum of its proper divisors (2344842848).

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

1445272000 is a wasteful number, since it uses less digits than its factorization.

1445272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10671 (or 10651 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 1445272000 is about 38016.7331579135. The cubic root of 1445272000 is about 1130.6196512678.

Adding to 1445272000 its reverse (2725441), we get a palindrome (1447997441).

The spelling of 1445272000 in words is "one billion, four hundred forty-five million, two hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 680 800 850 1000 1088 1360 1600 1700 2000 2125 2720 3400 4000 4250 5440 6800 8000 8500 10627 13600 17000 21254 27200 34000 42508 53135 68000 85016 106270 136000 170032 180659 212540 265675 340064 361318 425080 531350 680128 722636 850160 903295 1062700 1328375 1445272 1700320 1806590 2125400 2656750 2890544 3400640 3613180 4250800 4516475 5313500 5781088 7226360 8501600 9032950 10627000 11562176 14452720 17003200 18065900 21254000 22582375 28905440 36131800 42508000 45164750 57810880 72263600 85016000 90329500 144527200 180659000 289054400 361318000 722636000 1445272000