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132705054 = 234819167
BaseRepresentation
bin1111110100011…
…10101100011110
3100020201010010000
413322032230132
5232433030204
621100155130
73200655126
oct772165436
9306633100
10132705054
11689aa2a9
1238538aa6
1321654b01
14138a5c86
15b9b5039
hex7e8eb1e

132705054 has 20 divisors (see below), whose sum is σ = 297357984. Its totient is φ = 44234964.

The previous prime is 132705029. The next prime is 132705059. The reversal of 132705054 is 450507231.

It is a happy number.

It is a super-2 number, since 2×1327050542 = 35221262714285832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132705059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 409422 + ... + 409745.

Almost surely, 2132705054 is an apocalyptic number.

132705054 is an abundant number, since it is smaller than the sum of its proper divisors (164652930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132705054 is an equidigital number, since it uses as much as digits as its factorization.

132705054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819181 (or 819172 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 132705054 is about 11519.7679664132. The cubic root of 132705054 is about 510.0692639491.

It can be divided in two parts, 1327050 and 54, that added together give a square (1327104 = 11522).

The spelling of 132705054 in words is "one hundred thirty-two million, seven hundred five thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 819167 1638334 2457501 4915002 7372503 14745006 22117509 44235018 66352527 132705054