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16384137 = 3711193733
BaseRepresentation
bin111110100000…
…000010001001
31010211101210220
4332200002021
513143243022
61343100253
7256156110
oct76400211
933741726
1016384137
119280710
1255a1689
133518673
142266c77
15168985c
hexfa0089

16384137 has 32 divisors (see below), whose sum is σ = 28677120. Its totient is φ = 8061120.

The previous prime is 16384129. The next prime is 16384139. The reversal of 16384137 is 73148361.

It is not a de Polignac number, because 16384137 - 23 = 16384129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 16384098 and 16384107.

It is not an unprimeable number, because it can be changed into a prime (16384139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2523 + ... + 6255.

It is an arithmetic number, because the mean of its divisors is an integer number (896160).

Almost surely, 216384137 is an apocalyptic number.

It is an amenable number.

16384137 is a deficient number, since it is larger than the sum of its proper divisors (12292983).

16384137 is a wasteful number, since it uses less digits than its factorization.

16384137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773.

The product of its digits is 12096, while the sum is 33.

The square root of 16384137 is about 4047.7323281067. The cubic root of 16384137 is about 253.9848762359.

It can be divided in two parts, 163841 and 37, that added together give a triangular number (163878 = T572).

The spelling of 16384137 in words is "sixteen million, three hundred eighty-four thousand, one hundred thirty-seven".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 627 1463 3733 4389 11199 26131 41063 70927 78393 123189 212781 287441 496489 780197 862323 1489467 2340591 5461379 16384137