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1400540393 = 72171681321
BaseRepresentation
bin101001101111010…
…1000110011101001
310121121100211020102
41103132220303221
510332014243033
6350550235145
746464253100
oct12336506351
93547324212
101400540393
116596287aa
12331055ab5
1319420a735
14d4013037
1582e4ede8
hex537a8ce9

1400540393 has 12 divisors (see below), whose sum is σ = 1725036372. Its totient is φ = 1129847040.

The previous prime is 1400540389. The next prime is 1400540473. The reversal of 1400540393 is 3930450041.

It can be written as a sum of positive squares in 2 ways, for example, as 1159266304 + 241274089 = 34048^2 + 15533^2 .

It is not a de Polignac number, because 1400540393 - 22 = 1400540389 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1400540333) 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, 839828 + ... + 841493.

It is an arithmetic number, because the mean of its divisors is an integer number (143753031).

Almost surely, 21400540393 is an apocalyptic number.

It is an amenable number.

1400540393 is a deficient number, since it is larger than the sum of its proper divisors (324495979).

1400540393 is a wasteful number, since it uses less digits than its factorization.

1400540393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681352 (or 1681345 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 1400540393 is about 37423.7944762420. The cubic root of 1400540393 is about 1118.8328596786.

The spelling of 1400540393 in words is "one billion, four hundred million, five hundred forty thousand, three hundred ninety-three".

Divisors: 1 7 17 49 119 833 1681321 11769247 28582457 82384729 200077199 1400540393