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1380646144 = 288216569
BaseRepresentation
bin101001001001010…
…1111110100000000
310120012221002110101
41102102233310000
510311421134034
6345000012144
746133204263
oct12222576400
93505832411
101380646144
1164937a979
12326461054
131900634a7
14d1514cda
1581320514
hex524afd00

1380646144 has 36 divisors (see below), whose sum is σ = 2759675940. Its totient is φ = 689377280.

The previous prime is 1380646117. The next prime is 1380646147. The reversal of 1380646144 is 4416460831.

It can be written as a sum of positive squares in 2 ways, for example, as 846111744 + 534534400 = 29088^2 + 23120^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380646147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206892 + ... + 213460.

It is an arithmetic number, because the mean of its divisors is an integer number (76657665).

Almost surely, 21380646144 is an apocalyptic number.

It is an amenable number.

1380646144 is a deficient number, since it is larger than the sum of its proper divisors (1379029796).

1380646144 is an frugal number, since it uses more digits than its factorization.

1380646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406 (or 7392 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 1380646144 is about 37157.0470301395. The cubic root of 1380646144 is about 1113.5100166205.

The spelling of 1380646144 in words is "one billion, three hundred eighty million, six hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 821 1642 3284 6568 6569 13136 13138 26272 26276 52544 52552 105088 105104 210176 210208 420416 840832 1681664 5393149 10786298 21572596 43145192 86290384 172580768 345161536 690323072 1380646144