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1329792640 = 27511188891
BaseRepresentation
bin100111101000011…
…0000011010000000
310102200020110120021
41033100300122000
510210411331030
6335542023224
744645023321
oct11720603200
93380213507
101329792640
116226a6990
12311417b14
13182669767
14c8878448
157bb2797a
hex4f430680

1329792640 has 64 divisors (see below), whose sum is σ = 3468057120. Its totient is φ = 483558400.

The previous prime is 1329792637. The next prime is 1329792671. The reversal of 1329792640 is 462979231.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 87406 + ... + 101485.

Almost surely, 21329792640 is an apocalyptic number.

1329792640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1329792640 is an abundant number, since it is smaller than the sum of its proper divisors (2138264480).

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

1329792640 is a wasteful number, since it uses less digits than its factorization.

1329792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188921 (or 188909 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 1329792640 is about 36466.3219971524. The cubic root of 1329792640 is about 1099.6672933189.

The spelling of 1329792640 in words is "one billion, three hundred twenty-nine million, seven hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 188891 377782 755564 944455 1511128 1888910 2077801 3022256 3777820 4155602 6044512 7555640 8311204 10389005 12089024 15111280 16622408 20778010 24178048 30222560 33244816 41556020 60445120 66489632 83112040 120890240 132979264 166224080 265958528 332448160 664896320 1329792640