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53132105 = 5134119937
BaseRepresentation
bin1100101010101…
…1101101001001
310200222101112202
43022223231021
5102100211410
65134445545
71213421045
oct312535511
9120871482
1053132105
1127a9aa34
12159638b5
13b013c20
1470b1025
1549e7ca5
hex32abb49

53132105 has 16 divisors (see below), whose sum is σ = 70341264. Its totient is φ = 38277120.

The previous prime is 53132087. The next prime is 53132119. The reversal of 53132105 is 50123135.

It can be written as a sum of positive squares in 8 ways, for example, as 23309584 + 29822521 = 4828^2 + 5461^2 .

It is not a de Polignac number, because 53132105 - 224 = 36354889 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7304 + ... + 12633.

It is an arithmetic number, because the mean of its divisors is an integer number (4396329).

Almost surely, 253132105 is an apocalyptic number.

It is an amenable number.

53132105 is a deficient number, since it is larger than the sum of its proper divisors (17209159).

53132105 is a wasteful number, since it uses less digits than its factorization.

53132105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19996.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 53132105 is about 7289.1772512404. The cubic root of 53132105 is about 375.9404071279.

The spelling of 53132105 in words is "fifty-three million, one hundred thirty-two thousand, one hundred five".

Divisors: 1 5 13 41 65 205 533 2665 19937 99685 259181 817417 1295905 4087085 10626421 53132105