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1328539440 = 24357197699
BaseRepresentation
bin100111100101111…
…1110011100110000
310102120212210111110
41033023332130300
510210101230230
6335455113320
744631253554
oct11713763460
93376783443
101328539440
11621a20388
12310b12840
1318231b217
14c862d864
157b97b4b0
hex4f2fe730

1328539440 has 80 divisors (see below), whose sum is σ = 4124736000. Its totient is φ = 353738496.

The previous prime is 1328539439. The next prime is 1328539543. The reversal of 1328539440 is 449358231.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168711 + ... + 176409.

It is an arithmetic number, because the mean of its divisors is an integer number (51559200).

Almost surely, 21328539440 is an apocalyptic number.

1328539440 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 1328539440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062368000).

1328539440 is an abundant number, since it is smaller than the sum of its proper divisors (2796196560).

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

1328539440 is a wasteful number, since it uses less digits than its factorization.

1328539440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8434 (or 8428 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 1328539440 is about 36449.1349691594. The cubic root of 1328539440 is about 1099.3217416525.

It can be divided in two parts, 13285 and 39440, that added together give a palindrome (52725).

The spelling of 1328539440 in words is "one billion, three hundred twenty-eight million, five hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 719 1438 2157 2876 3595 4314 5752 7190 7699 8628 10785 11504 14380 15398 17256 21570 23097 28760 30796 34512 38495 43140 46194 57520 61592 76990 86280 92388 115485 123184 153980 172560 184776 230970 307960 369552 461940 615920 923880 1847760 5535581 11071162 16606743 22142324 27677905 33213486 44284648 55355810 66426972 83033715 88569296 110711620 132853944 166067430 221423240 265707888 332134860 442846480 664269720 1328539440