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32980969 = 72173137
BaseRepresentation
bin111110111001…
…1111111101001
32022001121101101
41331303333221
531420342334
63134521401
7550222300
oct175637751
968047341
1032980969
11176870aa
12b066261
136aa9a88
144547437
152d67214
hex1f73fe9

32980969 has 24 divisors (see below), whose sum is σ = 41060520. Its totient is φ = 26412288.

The previous prime is 32980943. The next prime is 32981009. The reversal of 32980969 is 96908923.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7225344 + 25755625 = 2688^2 + 5075^2 .

It is not a de Polignac number, because 32980969 - 223 = 24592361 is a prime.

It is a super-2 number, since 2×329809692 = 2175488632357922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32981969) 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 23 ways as a sum of consecutive naturals, for example, 240669 + ... + 240805.

It is an arithmetic number, because the mean of its divisors is an integer number (1710855).

Almost surely, 232980969 is an apocalyptic number.

It is an amenable number.

32980969 is a deficient number, since it is larger than the sum of its proper divisors (8079551).

32980969 is an equidigital number, since it uses as much as digits as its factorization.

32980969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The square root of 32980969 is about 5742.9059717185. The cubic root of 32980969 is about 320.6917619653.

The spelling of 32980969 in words is "thirty-two million, nine hundred eighty thousand, nine hundred sixty-nine".

Divisors: 1 7 17 49 119 137 289 833 959 2023 2329 4913 6713 14161 16303 34391 39593 114121 240737 277151 673081 1940057 4711567 32980969