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132084435 = 3573134019
BaseRepresentation
bin1111101111101…
…11001011010011
3100012112120210010
413313313023103
5232303200220
621035010003
73162461550
oct767671323
9305476703
10132084435
1168615a9a
1238299903
1321498492
1413783a27
15b8e11e0
hex7df72d3

132084435 has 32 divisors (see below), whose sum is σ = 242357760. Its totient is φ = 60173568.

The previous prime is 132084431. The next prime is 132084439. The reversal of 132084435 is 534480231.

It is an interprime number because it is at equal distance from previous prime (132084431) and next prime (132084439).

It is not a de Polignac number, because 132084435 - 22 = 132084431 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132084431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30856 + ... + 34874.

It is an arithmetic number, because the mean of its divisors is an integer number (7573680).

Almost surely, 2132084435 is an apocalyptic number.

132084435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132084435 is a deficient number, since it is larger than the sum of its proper divisors (110273325).

132084435 is a wasteful number, since it uses less digits than its factorization.

132084435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 132084435 is about 11492.7992673674. The cubic root of 132084435 is about 509.2728776919.

The spelling of 132084435 in words is "one hundred thirty-two million, eighty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 105 313 939 1565 2191 4019 4695 6573 10955 12057 20095 28133 32865 60285 84399 140665 421995 1257947 3773841 6289735 8805629 18869205 26416887 44028145 132084435