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13467961 = 1317149409
BaseRepresentation
bin110011011000…
…000100111001
3221100020120101
4303120010321
511421433321
61200355401
7222322123
oct63300471
927306511
1013467961
117669751
124615b61
132a37210
141b08213
1512b0791
hexcd8139

13467961 has 16 divisors (see below), whose sum is σ = 15498000. Its totient is φ = 11593728.

The previous prime is 13467947. The next prime is 13467997. The reversal of 13467961 is 16976431.

It can be written as a sum of positive squares in 8 ways, for example, as 6400 + 13461561 = 80^2 + 3669^2 .

It is not a de Polignac number, because 13467961 - 25 = 13467929 is a prime.

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 13467961.

It is not an unprimeable number, because it can be changed into a prime (13467061) 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 15 ways as a sum of consecutive naturals, for example, 32725 + ... + 33133.

It is an arithmetic number, because the mean of its divisors is an integer number (968625).

Almost surely, 213467961 is an apocalyptic number.

It is an amenable number.

13467961 is a deficient number, since it is larger than the sum of its proper divisors (2030039).

13467961 is a wasteful number, since it uses less digits than its factorization.

13467961 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 27216, while the sum is 37.

The square root of 13467961 is about 3669.8720686149. The cubic root of 13467961 is about 237.9216428727.

The spelling of 13467961 in words is "thirteen million, four hundred sixty-seven thousand, nine hundred sixty-one".

Divisors: 1 13 17 149 221 409 1937 2533 5317 6953 32929 60941 90389 792233 1035997 13467961