Search a number
-
+
132706761 = 3114021417
BaseRepresentation
bin1111110100011…
…11000111001001
3100020201012110020
413322033013021
5232433104021
621100211053
73200663115
oct772170711
9306635406
10132706761
1168a00610
1238539a89
1321655815
14138a6745
15b9b57c6
hex7e8f1c9

132706761 has 8 divisors (see below), whose sum is σ = 193028064. Its totient is φ = 80428320.

The previous prime is 132706751. The next prime is 132706771. The reversal of 132706761 is 167607231.

It is an interprime number because it is at equal distance from previous prime (132706751) and next prime (132706771).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132706761 - 27 = 132706633 is a prime.

It is a super-2 number, since 2×1327067612 = 35222168830222242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 4021417 = 132706761 / (1 + 3 + 2 + 7 + 0 + 6 + 7 + 6 + 1).

It is not an unprimeable number, because it can be changed into a prime (132706751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2010676 + ... + 2010741.

It is an arithmetic number, because the mean of its divisors is an integer number (24128508).

Almost surely, 2132706761 is an apocalyptic number.

132706761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132706761 is a deficient number, since it is larger than the sum of its proper divisors (60321303).

132706761 is a wasteful number, since it uses less digits than its factorization.

132706761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021431.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 132706761 is about 11519.8420562089. The cubic root of 132706761 is about 510.0714509658.

The spelling of 132706761 in words is "one hundred thirty-two million, seven hundred six thousand, seven hundred sixty-one".

Divisors: 1 3 11 33 4021417 12064251 44235587 132706761