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12195953 = 7211417
BaseRepresentation
bin101110100001…
…100001110001
3211221121200222
4232201201301
511110232303
61113222425
7205443500
oct56414161
924847628
1012195953
116980000
124101a15
1326b0253
141896837
15110d938
hexba1871

12195953 has 30 divisors (see below), whose sum is σ = 16523730. Its totient is φ = 8944320.

The previous prime is 12195947. The next prime is 12195973. The reversal of 12195953 is 35959121.

It can be written as a sum of positive squares in only one way, i.e., 11478544 + 717409 = 3388^2 + 847^2 .

It is not a de Polignac number, because 12195953 - 28 = 12195697 is a prime.

It is a Duffinian number.

Its product of digits (12150) is a multiple of the sum of its prime factors (75).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12195973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 717401 + ... + 717417.

It is an arithmetic number, because the mean of its divisors is an integer number (550791).

Almost surely, 212195953 is an apocalyptic number.

It is an amenable number.

12195953 is a deficient number, since it is larger than the sum of its proper divisors (4327777).

12195953 is an frugal number, since it uses more digits than its factorization.

12195953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 35 counting only the distinct ones).

The product of its digits is 12150, while the sum is 35.

The square root of 12195953 is about 3492.2704648982. The cubic root of 12195953 is about 230.1822940420.

The spelling of 12195953 in words is "twelve million, one hundred ninety-five thousand, nine hundred fifty-three".

Divisors: 1 7 11 17 49 77 119 121 187 539 833 847 1309 1331 2057 5929 9163 9317 14399 14641 22627 65219 100793 102487 158389 248897 717409 1108723 1742279 12195953