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1287380416 = 26719151243
BaseRepresentation
bin100110010111011…
…1101110111000000
310022201102200221011
41030232331313000
510114032133131
6331425010304
743621360450
oct11456756700
93281380834
101287380416
11600768a63
122bb183994
13176939c7a
14c2d97d60
157804b0b1
hex4cbbddc0

1287380416 has 56 divisors (see below), whose sum is σ = 3073278080. Its totient is φ = 522692352.

The previous prime is 1287380401. The next prime is 1287380447. The reversal of 1287380416 is 6140837821.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 67110 + ... + 84133.

Almost surely, 21287380416 is an apocalyptic number.

1287380416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1287380416 is an abundant number, since it is smaller than the sum of its proper divisors (1785897664).

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

1287380416 is a wasteful number, since it uses less digits than its factorization.

1287380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151281 (or 151271 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 1287380416 is about 35880.0838349076. The cubic root of 1287380416 is about 1087.8498747592.

The spelling of 1287380416 in words is "one billion, two hundred eighty-seven million, three hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 151243 302486 604972 1058701 1209944 2117402 2419888 2873617 4234804 4839776 5747234 8469608 9679552 11494468 16939216 20115319 22988936 33878432 40230638 45977872 67756864 80461276 91955744 160922552 183911488 321845104 643690208 1287380416