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84007053 = 32131017109
BaseRepresentation
bin1010000000111…
…01100010001101
312212002000000100
411000131202031
5133001211203
612200321313
72040022344
oct500354215
9185060010
1084007053
1143468819
1224173239
1314534220
14b22ab5b
157595ea3
hex501d88d

84007053 has 24 divisors (see below), whose sum is σ = 131990040. Its totient is φ = 51177600.

The previous prime is 84007051. The next prime is 84007061. The reversal of 84007053 is 35070048.

It can be written as a sum of positive squares in 4 ways, for example, as 6953769 + 77053284 = 2637^2 + 8778^2 .

It is not a de Polignac number, because 84007053 - 21 = 84007051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84007051) 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, 8263 + ... + 15371.

It is an arithmetic number, because the mean of its divisors is an integer number (5499585).

Almost surely, 284007053 is an apocalyptic number.

It is an amenable number.

84007053 is a deficient number, since it is larger than the sum of its proper divisors (47982987).

84007053 is a wasteful number, since it uses less digits than its factorization.

84007053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7229 (or 7226 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 84007053 is about 9165.5361545302. The cubic root of 84007053 is about 437.9641710856.

The spelling of 84007053 in words is "eighty-four million, seven thousand, fifty-three".

Divisors: 1 3 9 13 39 101 117 303 909 1313 3939 7109 11817 21327 63981 92417 277251 718009 831753 2154027 6462081 9334117 28002351 84007053