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132644127 = 3721182031
BaseRepresentation
bin1111110011111…
…11110100011111
3100020121000112110
413321333310133
5232424103002
621055005103
73200312400
oct771776437
9306530473
10132644127
1168968550
1238509793
1321633165
141388b9a7
15b9a1e6c
hex7e7fd1f

132644127 has 24 divisors (see below), whose sum is σ = 224439552. Its totient is φ = 68905200.

The previous prime is 132644123. The next prime is 132644131. The reversal of 132644127 is 721446231.

It is an interprime number because it is at equal distance from previous prime (132644123) and next prime (132644131).

It is not a de Polignac number, because 132644127 - 22 = 132644123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132644094 and 132644103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132644123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39399 + ... + 42632.

It is an arithmetic number, because the mean of its divisors is an integer number (9351648).

Almost surely, 2132644127 is an apocalyptic number.

132644127 is a deficient number, since it is larger than the sum of its proper divisors (91795425).

132644127 is a wasteful number, since it uses less digits than its factorization.

132644127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82059 (or 82052 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 132644127 is about 11517.1232085100. The cubic root of 132644127 is about 509.9911916972.

It can be divided in two parts, 13264 and 4127, that added together give a triangular number (17391 = T186).

The spelling of 132644127 in words is "one hundred thirty-two million, six hundred forty-four thousand, one hundred twenty-seven".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 82031 246093 574217 902341 1722651 2707023 4019519 6316387 12058557 18949161 44214709 132644127