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147147 = 3731113
BaseRepresentation
bin100011111011001011
321110211220
4203323023
514202042
63053123
71152000
oct437313
9243756
10147147
11a0610
12711a3
1351c90
143b8a7
152d8ec
hex23ecb

147147 has 32 divisors (see below), whose sum is σ = 268800. Its totient is φ = 70560.

The previous prime is 147139. The next prime is 147151. The reversal of 147147 is 741741.

It is not a de Polignac number, because 147147 - 23 = 147139 is a prime.

147147 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147107) 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 31 ways as a sum of consecutive naturals, for example, 11313 + ... + 11325.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2147147 is an apocalyptic number.

147147 is a deficient number, since it is larger than the sum of its proper divisors (121653).

147147 is a wasteful number, since it uses less digits than its factorization.

147147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 34 counting only the distinct ones).

The product of its digits is 784, while the sum is 24.

The square root of 147147 is about 383.5974452470. The cubic root of 147147 is about 52.7939071252.

Adding to 147147 its reverse (741741), we get a palindrome (888888).

The spelling of 147147 in words is "one hundred forty-seven thousand, one hundred forty-seven", and thus it is an iban number.

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 343 429 539 637 1001 1029 1617 1911 3003 3773 4459 7007 11319 13377 21021 49049 147147