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84123153 = 3297173557
BaseRepresentation
bin1010000001110…
…01111000010001
312212021220021100
411000321320101
5133013420103
612203015013
72041015002
oct500717021
9185256240
1084123153
1143537a74
122420a469
131457501a
14b25b1a9
1575ba5a3
hex5039e11

84123153 has 24 divisors (see below), whose sum is σ = 123695208. Its totient is φ = 55084032.

The previous prime is 84123133. The next prime is 84123161. The reversal of 84123153 is 35132148.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10712529 + 73410624 = 3273^2 + 8568^2 .

It is not a de Polignac number, because 84123153 - 226 = 17014289 is a prime.

It is a super-2 number, since 2×841231532 = 14153409741322818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84123133) 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 23 ways as a sum of consecutive naturals, for example, 150751 + ... + 151307.

It is an arithmetic number, because the mean of its divisors is an integer number (5153967).

Almost surely, 284123153 is an apocalyptic number.

It is an amenable number.

84123153 is a deficient number, since it is larger than the sum of its proper divisors (39572055).

84123153 is a wasteful number, since it uses less digits than its factorization.

84123153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 830 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 84123153 is about 9171.8674761468. The cubic root of 84123153 is about 438.1658376209.

The spelling of 84123153 in words is "eighty-four million, one hundred twenty-three thousand, one hundred fifty-three".

Divisors: 1 3 9 97 173 291 519 557 873 1557 1671 5013 16781 50343 54029 96361 151029 162087 289083 486261 867249 9347017 28041051 84123153