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132091967 = 7237311239
BaseRepresentation
bin1111101111110…
…01000000111111
3100012112222010002
413313321000333
5232303420332
621035104515
73162522530
oct767710077
9305488102
10132091967
1168620717
12382a213b
132149ba37
1413786687
15b8e3562
hex7df903f

132091967 has 16 divisors (see below), whose sum is σ = 159697920. Its totient is φ = 106805952.

The previous prime is 132091957. The next prime is 132091979. The reversal of 132091967 is 769190231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 132091967 - 26 = 132091903 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132091967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132091957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6134 + ... + 17372.

It is an arithmetic number, because the mean of its divisors is an integer number (9981120).

Almost surely, 2132091967 is an apocalyptic number.

132091967 is a deficient number, since it is larger than the sum of its proper divisors (27605953).

132091967 is a wasteful number, since it uses less digits than its factorization.

132091967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11342.

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 132091967 is about 11493.1269461361. The cubic root of 132091967 is about 509.2825577888.

The spelling of 132091967 in words is "one hundred thirty-two million, ninety-one thousand, nine hundred sixty-seven".

Divisors: 1 7 23 73 161 511 1679 11239 11753 78673 258497 820447 1809479 5743129 18870281 132091967