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1327552640 = 2752390187
BaseRepresentation
bin100111100100000…
…1101100010000000
310102112000122212022
41033020031202000
510204323141030
6335422021012
744620003601
oct11710154200
93375018768
101327552640
11621406a47
12310717768
1318206400b
14c8453da8
157b833de5
hex4f20d880

1327552640 has 64 divisors (see below), whose sum is σ = 3311703360. Its totient is φ = 507927552.

The previous prime is 1327552621. The next prime is 1327552643. The reversal of 1327552640 is 462557231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1327552640.

It is not an unprimeable number, because it can be changed into a prime (1327552643) by changing a digit.

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, 30374 + ... + 59813.

It is an arithmetic number, because the mean of its divisors is an integer number (51745365).

Almost surely, 21327552640 is an apocalyptic number.

1327552640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327552640 is an abundant number, since it is smaller than the sum of its proper divisors (1984150720).

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

1327552640 is an equidigital number, since it uses as much as digits as its factorization.

1327552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90229 (or 90217 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 1327552640 is about 36435.5957821469. The cubic root of 1327552640 is about 1099.0494929556.

The spelling of 1327552640 in words is "one billion, three hundred twenty-seven million, five hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 90187 180374 360748 450935 721496 901870 1442992 1803740 2074301 2885984 3607480 4148602 5771968 7214960 8297204 10371505 11543936 14429920 16594408 20743010 28859840 33188816 41486020 57719680 66377632 82972040 132755264 165944080 265510528 331888160 663776320 1327552640