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1330545440 = 25578211447
BaseRepresentation
bin100111101001110…
…1000001100100000
310102201122201012202
41033103220030200
510211104423230
6340010112332
744654310140
oct11723501440
93381581182
101330545440
11623070534
1231171b6a8
131828712c3
14c89d2920
157bc25a45
hex4f4e8320

1330545440 has 96 divisors (see below), whose sum is σ = 3599334144. Its totient is φ = 455316480.

The previous prime is 1330545439. The next prime is 1330545479. The reversal of 1330545440 is 445450331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918797 + ... + 920243.

It is an arithmetic number, because the mean of its divisors is an integer number (37493064).

Almost surely, 21330545440 is an apocalyptic number.

1330545440 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 1330545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799667072).

1330545440 is an abundant number, since it is smaller than the sum of its proper divisors (2268788704).

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

1330545440 is a wasteful number, since it uses less digits than its factorization.

1330545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 1330545440 is about 36476.6423893428. The cubic root of 1330545440 is about 1099.8747626015.

Adding to 1330545440 its reverse (445450331), we get a palindrome (1775995771).

The spelling of 1330545440 in words is "one billion, three hundred thirty million, five hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 821 1120 1447 1642 2894 3284 4105 5747 5788 6568 7235 8210 10129 11494 11576 13136 14470 16420 20258 22988 23152 26272 28735 28940 32840 40516 45976 46304 50645 57470 57880 65680 81032 91952 101290 114940 115760 131360 162064 183904 202580 229880 231520 324128 405160 459760 810320 919520 1187987 1620640 2375974 4751948 5939935 8315909 9503896 11879870 16631818 19007792 23759740 33263636 38015584 41579545 47519480 66527272 83159090 95038960 133054544 166318180 190077920 266109088 332636360 665272720 1330545440