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132400065 = 3575232411
BaseRepresentation
bin1111110010001…
…00001111000001
3100020010121202010
413321010033001
5232343300230
621045443133
73165245010
oct771041701
9306117663
10132400065
1168811146
12384104a9
1321579045
1413826a77
15b9549b0
hex7e443c1

132400065 has 32 divisors (see below), whose sum is σ = 242666496. Its totient is φ = 60384960.

The previous prime is 132400061. The next prime is 132400069. The reversal of 132400065 is 560004231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132400061) and next prime (132400069).

It is not a de Polignac number, because 132400065 - 22 = 132400061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (132400061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53710 + ... + 56120.

It is an arithmetic number, because the mean of its divisors is an integer number (7583328).

Almost surely, 2132400065 is an apocalyptic number.

132400065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132400065 is a deficient number, since it is larger than the sum of its proper divisors (110266431).

132400065 is a wasteful number, since it uses less digits than its factorization.

132400065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 132400065 is about 11506.5227153993. The cubic root of 132400065 is about 509.6782091539.

Adding to 132400065 its reverse (560004231), we get a palindrome (692404296).

The spelling of 132400065 in words is "one hundred thirty-two million, four hundred thousand, sixty-five".

Divisors: 1 3 5 7 15 21 35 105 523 1569 2411 2615 3661 7233 7845 10983 12055 16877 18305 36165 50631 54915 84385 253155 1260953 3782859 6304765 8826671 18914295 26480013 44133355 132400065