Search a number
-
+
84022137 = 333111931
BaseRepresentation
bin1010000001000…
…01001101111001
312212002202201000
411000201031321
5133002202022
612200515213
72040114333
oct500411571
9185082630
1084022137
1143479091
122417bb09
131453b054
14b232453
15759a6ac
hex5021379

84022137 has 8 divisors (see below), whose sum is σ = 124477280. Its totient is φ = 56014740.

The previous prime is 84022117. The next prime is 84022139. The reversal of 84022137 is 73122048.

It is not a de Polignac number, because 84022137 - 26 = 84022073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3111931 = 84022137 / (8 + 4 + 0 + 2 + 2 + 1 + 3 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 84022137.

It is not an unprimeable number, because it can be changed into a prime (84022139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1555939 + ... + 1555992.

It is an arithmetic number, because the mean of its divisors is an integer number (15559660).

Almost surely, 284022137 is an apocalyptic number.

It is an amenable number.

84022137 is a deficient number, since it is larger than the sum of its proper divisors (40455143).

84022137 is a wasteful number, since it uses less digits than its factorization.

84022137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111940 (or 3111934 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 84022137 is about 9166.3589827150. The cubic root of 84022137 is about 437.9903825999.

The spelling of 84022137 in words is "eighty-four million, twenty-two thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 3111931 9335793 28007379 84022137