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7131993 = 3111712713
BaseRepresentation
bin11011001101001101011001
3111102100020220
4123031031121
53311210433
6412510253
7114422661
oct33151531
914370226
107131993
114031410
12247b389
13162931b
14d391a1
1595d2b3
hex6cd359

7131993 has 16 divisors (see below), whose sum is σ = 10984896. Its totient is φ = 4067840.

The previous prime is 7131989. The next prime is 7132019. The reversal of 7131993 is 3991317.

It is a cyclic number.

It is not a de Polignac number, because 7131993 - 22 = 7131989 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7131923) 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 15 ways as a sum of consecutive naturals, for example, 5796 + ... + 6917.

It is an arithmetic number, because the mean of its divisors is an integer number (686556).

Almost surely, 27131993 is an apocalyptic number.

It is an amenable number.

7131993 is a deficient number, since it is larger than the sum of its proper divisors (3852903).

7131993 is a wasteful number, since it uses less digits than its factorization.

7131993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12744.

The product of its digits is 5103, while the sum is 33.

The square root of 7131993 is about 2670.5791506713. The cubic root of 7131993 is about 192.4879893558.

The spelling of 7131993 in words is "seven million, one hundred thirty-one thousand, nine hundred ninety-three".

Divisors: 1 3 11 17 33 51 187 561 12713 38139 139843 216121 419529 648363 2377331 7131993