Search a number
-
+
84114531 = 344092539
BaseRepresentation
bin1010000001101…
…11110001100011
312212021110110000
411000313301203
5133013131111
612202511043
72040650604
oct500676143
9185243400
1084114531
1143531546
1224205483
1314571117
14b257dab
1575b7c56
hex5037c63

84114531 has 20 divisors (see below), whose sum is σ = 126009400. Its totient is φ = 55917216.

The previous prime is 84114509. The next prime is 84114533. The reversal of 84114531 is 13541148.

It is a happy number.

It is not a de Polignac number, because 84114531 - 26 = 84114467 is a prime.

It is a super-2 number, since 2×841145312 = 14150508650699922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84114495 and 84114504.

It is not an unprimeable number, because it can be changed into a prime (84114533) 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 19 ways as a sum of consecutive naturals, for example, 31860 + ... + 34398.

It is an arithmetic number, because the mean of its divisors is an integer number (6300470).

Almost surely, 284114531 is an apocalyptic number.

84114531 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

84114531 is a deficient number, since it is larger than the sum of its proper divisors (41894869).

84114531 is a wasteful number, since it uses less digits than its factorization.

84114531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2951 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 84114531 is about 9171.3974398671. The cubic root of 84114531 is about 438.1508675253.

Adding to 84114531 its reverse (13541148), we get a palindrome (97655679).

The spelling of 84114531 in words is "eighty-four million, one hundred fourteen thousand, five hundred thirty-one".

Divisors: 1 3 9 27 81 409 1227 2539 3681 7617 11043 22851 33129 68553 205659 1038451 3115353 9346059 28038177 84114531