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1384075755 = 385311361
BaseRepresentation
bin101001001111111…
…0101000111101011
310120110101100000000
41102133311013223
510313310411010
6345201314043
746204310166
oct12237650753
93513340000
101384075755
11650302667
12327635923
1319099454a
14d1b68add
158179b7c0
hex527f51eb

1384075755 has 72 divisors (see below), whose sum is σ = 2573460864. Its totient is φ = 713836800.

The previous prime is 1384075753. The next prime is 1384075799. The reversal of 1384075755 is 5575704831.

It is a happy number.

1384075755 is a `hidden beast` number, since 1 + 38 + 40 + 7 + 575 + 5 = 666.

It is not a de Polignac number, because 1384075755 - 21 = 1384075753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1384075755.

It is not an unprimeable number, because it can be changed into a prime (1384075753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1016275 + ... + 1017635.

It is an arithmetic number, because the mean of its divisors is an integer number (35742512).

Almost surely, 21384075755 is an apocalyptic number.

1384075755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1384075755 is a deficient number, since it is larger than the sum of its proper divisors (1189385109).

1384075755 is an frugal number, since it uses more digits than its factorization.

1384075755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 1384075755 is about 37203.1686150521. The cubic root of 1384075755 is about 1114.4312636374.

The spelling of 1384075755 in words is "one billion, three hundred eighty-four million, seventy-five thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 27 31 45 81 93 135 155 243 279 405 465 729 837 1215 1361 1395 2187 2511 3645 4083 4185 6561 6805 7533 10935 12249 12555 20415 22599 32805 36747 37665 42191 61245 67797 110241 112995 126573 183735 203391 210955 330723 338985 379719 551205 632865 992169 1016955 1139157 1653615 1898595 2976507 3417471 4960845 5695785 8929521 10252413 14882535 17087355 30757239 44647605 51262065 92271717 153786195 276815151 461358585 1384075755