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1328757700 = 225253250709
BaseRepresentation
bin100111100110011…
…0011101111000100
310102121021212220011
41033030303233010
510210130221300
6335503520004
744633153104
oct11714635704
93377255804
101328757700
1162205a366
12310bb9004
1318239667a
14c8689204
157b9c0eba
hex4f333bc4

1328757700 has 36 divisors (see below), whose sum is σ = 2937819780. Its totient is φ = 521472640.

The previous prime is 1328757697. The next prime is 1328757709. The reversal of 1328757700 is 77578231.

It can be written as a sum of positive squares in 6 ways, for example, as 32901696 + 1295856004 = 5736^2 + 35998^2 .

It is not an unprimeable number, because it can be changed into a prime (1328757709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120055 + ... + 130654.

It is an arithmetic number, because the mean of its divisors is an integer number (81606105).

Almost surely, 21328757700 is an apocalyptic number.

1328757700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328757700 is an abundant number, since it is smaller than the sum of its proper divisors (1609062080).

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

1328757700 is a wasteful number, since it uses less digits than its factorization.

1328757700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250776 (or 250769 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The square root of 1328757700 is about 36452.1288815893. The cubic root of 1328757700 is about 1099.3819392946.

The spelling of 1328757700 in words is "one billion, three hundred twenty-eight million, seven hundred fifty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 250709 501418 1002836 1253545 2507090 5014180 6267725 12535450 13287577 25070900 26575154 53150308 66437885 132875770 265751540 332189425 664378850 1328757700