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13629601 is a prime number
BaseRepresentation
bin110011111111…
…100010100001
3221122110022001
4303333202201
511442121401
61204044001
7223564306
oct63774241
927573261
1013629601
11776a137
124693601
132a9296b
141b4b0ad
1512e3601
hexcff8a1

13629601 has 2 divisors, whose sum is σ = 13629602. Its totient is φ = 13629600.

The previous prime is 13629559. The next prime is 13629607. The reversal of 13629601 is 10692631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6864400 + 6765201 = 2620^2 + 2601^2 .

It is a cyclic number.

It is not a de Polignac number, because 13629601 - 211 = 13627553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13629601.

It is not a weakly prime, because it can be changed into another prime (13629607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6814800 + 6814801.

It is an arithmetic number, because the mean of its divisors is an integer number (6814801).

Almost surely, 213629601 is an apocalyptic number.

It is an amenable number.

13629601 is a deficient number, since it is larger than the sum of its proper divisors (1).

13629601 is an equidigital number, since it uses as much as digits as its factorization.

13629601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 13629601 is about 3691.8289505339. The cubic root of 13629601 is about 238.8696908154.

The spelling of 13629601 in words is "thirteen million, six hundred twenty-nine thousand, six hundred one".