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1445332020 = 2235112578521
BaseRepresentation
bin101011000100110…
…0000010000110100
310201201122110210120
41112021200100310
510430001111040
6355230251540
750550055656
oct12611402064
93651573716
101445332020
11681941380
12344056bb0
131a0591262
14d9d526d6
1586d4b7d0
hex56260434

1445332020 has 96 divisors (see below), whose sum is σ = 4432530816. Its totient is φ = 348979200.

The previous prime is 1445332001. The next prime is 1445332069. The reversal of 1445332020 is 202335441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165360 + ... + 173880.

It is an arithmetic number, because the mean of its divisors is an integer number (46172196).

Almost surely, 21445332020 is an apocalyptic number.

1445332020 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 1445332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216265408).

1445332020 is an abundant number, since it is smaller than the sum of its proper divisors (2987198796).

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

1445332020 is a wasteful number, since it uses less digits than its factorization.

1445332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8801 (or 8799 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1445332020 is about 38017.5225389556. The cubic root of 1445332020 is about 1130.6353020362.

Adding to 1445332020 its reverse (202335441), we get a palindrome (1647667461).

The spelling of 1445332020 in words is "one billion, four hundred forty-five million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 257 330 514 660 771 1028 1285 1542 2570 2827 3084 3855 5140 5654 7710 8481 8521 11308 14135 15420 16962 17042 25563 28270 33924 34084 42405 42605 51126 56540 84810 85210 93731 102252 127815 169620 170420 187462 255630 281193 374924 468655 511260 562386 937310 1124772 1405965 1874620 2189897 2811930 4379794 5623860 6569691 8759588 10949485 13139382 21898970 24088867 26278764 32848455 43797940 48177734 65696910 72266601 96355468 120444335 131393820 144533202 240888670 289066404 361333005 481777340 722666010 1445332020