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12172369 = 1119139419
BaseRepresentation
bin101110011011…
…110001010001
3211220102100111
4232123301101
511104003434
61112521321
7205314646
oct56336121
924812314
1012172369
116964310
1240b0241
1326a25b1
14188bdcd
151106964
hexb9bc51

12172369 has 16 divisors (see below), whose sum is σ = 14112000. Its totient is φ = 10383120.

The previous prime is 12172361. The next prime is 12172387. The reversal of 12172369 is 96327121.

12172369 = T1 + T2 + ... + T417.

12172369 is a nontrivial binomial coefficient, being equal to C(419, 3).

It is not a de Polignac number, because 12172369 - 23 = 12172361 is a prime.

It is a super-2 number, since 2×121723692 = 296333134144322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12172369.

It is not an unprimeable number, because it can be changed into a prime (12172361) by changing a digit.

It is the 417-th tetrahedral number.

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 15 ways as a sum of consecutive naturals, for example, 28842 + ... + 29260.

It is an arithmetic number, because the mean of its divisors is an integer number (882000).

Almost surely, 212172369 is an apocalyptic number.

12172369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12172369 is a deficient number, since it is larger than the sum of its proper divisors (1939631).

12172369 is a wasteful number, since it uses less digits than its factorization.

12172369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588.

The product of its digits is 4536, while the sum is 31.

The square root of 12172369 is about 3488.8922310670. The cubic root of 12172369 is about 230.0338261529.

The spelling of 12172369 in words is "twelve million, one hundred seventy-two thousand, three hundred sixty-nine".

Divisors: 1 11 19 139 209 419 1529 2641 4609 7961 29051 58241 87571 640651 1106579 12172369