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13724001 = 3212712007
BaseRepresentation
bin110100010110…
…100101100001
3221211020210100
4310112211201
512003132001
61210053013
7224436444
oct64264541
927736710
1013724001
117824055
12471a169
132ac6915
141b7365b
151311586
hexd16961

13724001 has 12 divisors (see below), whose sum is σ = 19981312. Its totient is φ = 9076536.

The previous prime is 13723999. The next prime is 13724017. The reversal of 13724001 is 10042731.

13724001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13724001 - 21 = 13723999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13724021) 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 11 ways as a sum of consecutive naturals, for example, 4861 + ... + 7146.

Almost surely, 213724001 is an apocalyptic number.

It is an amenable number.

13724001 is a deficient number, since it is larger than the sum of its proper divisors (6257311).

13724001 is a wasteful number, since it uses less digits than its factorization.

13724001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12140 (or 12137 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13724001 is about 3704.5918803561. The cubic root of 13724001 is about 239.4199010682.

Adding to 13724001 its reverse (10042731), we get a palindrome (23766732).

The spelling of 13724001 in words is "thirteen million, seven hundred twenty-four thousand, one".

Divisors: 1 3 9 127 381 1143 12007 36021 108063 1524889 4574667 13724001