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132009969 = 37213371867
BaseRepresentation
bin1111101111001…
…00111111110001
3100012101210122010
413313210333301
5232243304334
621033233133
73162031500
oct767447761
9305353563
10132009969
1168575053
12382627a9
1321470610
1413764837
15b8c90e9
hex7de4ff1

132009969 has 48 divisors (see below), whose sum is σ = 226580928. Its totient is φ = 67713408.

The previous prime is 132009961. The next prime is 132009973. The reversal of 132009969 is 969900231.

It is a happy number.

It is not a de Polignac number, because 132009969 - 23 = 132009961 is a prime.

It is a super-2 number, since 2×1320099692 = 34853263830761922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (132009961) 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 47 ways as a sum of consecutive naturals, for example, 69774 + ... + 71640.

It is an arithmetic number, because the mean of its divisors is an integer number (4720436).

Almost surely, 2132009969 is an apocalyptic number.

It is an amenable number.

132009969 is a deficient number, since it is larger than the sum of its proper divisors (94570959).

132009969 is a wasteful number, since it uses less digits than its factorization.

132009969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 132009969 is about 11489.5591299231. The cubic root of 132009969 is about 509.1771544697.

The spelling of 132009969 in words is "one hundred thirty-two million, nine thousand, nine hundred sixty-nine".

Divisors: 1 3 7 13 21 37 39 49 91 111 147 259 273 481 637 777 1443 1813 1867 1911 3367 5439 5601 10101 13069 23569 24271 39207 69079 70707 72813 91483 169897 207237 274449 483553 509691 898027 1189279 1450659 2694081 3384871 3567837 6286189 10154613 18858567 44003323 132009969