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1382676084 = 223253838731
BaseRepresentation
bin101001001101001…
…1111011001110100
310120100202020000100
41102122133121310
510312431113314
6345111314100
746156360416
oct12232373164
93510666010
101382676084
1164a537009
1232707b930
131905c443a
14d18c29b6
15815c1c09
hex5269f674

1382676084 has 72 divisors (see below), whose sum is σ = 3604360032. Its totient is φ = 446696640.

The previous prime is 1382676059. The next prime is 1382676109. The reversal of 1382676084 is 4806762831.

1382676084 is a `hidden beast` number, since 1 + 38 + 2 + 6 + 7 + 608 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1382676059) and next prime (1382676109).

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 23 ways as a sum of consecutive naturals, for example, 153999 + ... + 162729.

It is an arithmetic number, because the mean of its divisors is an integer number (50060556).

Almost surely, 21382676084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382676084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802180016).

1382676084 is an abundant number, since it is smaller than the sum of its proper divisors (2221683948).

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

1382676084 is a wasteful number, since it uses less digits than its factorization.

1382676084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8877 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1382676084 is about 37184.3526768989. The cubic root of 1382676084 is about 1114.0554741824.

The spelling of 1382676084 in words is "one billion, three hundred eighty-two million, six hundred seventy-six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 83 106 159 166 212 249 318 332 477 498 636 747 954 996 1494 1908 2988 4399 8731 8798 13197 17462 17596 26193 26394 34924 39591 52386 52788 78579 79182 104772 157158 158364 314316 462743 724673 925486 1388229 1449346 1850972 2174019 2776458 2898692 4164687 4348038 5552916 6522057 8329374 8696076 13044114 16658748 26088228 38407669 76815338 115223007 153630676 230446014 345669021 460892028 691338042 1382676084