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10827401 = 133167401
BaseRepresentation
bin101001010011…
…011010001001
3202101002101212
4221103122021
510232434101
61024022505
7161013524
oct51233211
922332355
1010827401
116125872
123761a35
132321360
14161bbbb
15e3d1bb
hexa53689

10827401 has 16 divisors (see below), whose sum is σ = 12246528. Its totient is φ = 9504000.

The previous prime is 10827389. The next prime is 10827409. The reversal of 10827401 is 10472801.

10827401 = T1 + T2 + ... + T401.

10827401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

10827401 is a nontrivial binomial coefficient, being equal to C(403, 3).

It is a cyclic number.

It is not a de Polignac number, because 10827401 - 26 = 10827337 is a prime.

It is a super-2 number, since 2×108274012 = 234465224829602, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10827409) by changing a digit.

It is the 401-st tetrahedral number.

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, 26801 + ... + 27201.

It is an arithmetic number, because the mean of its divisors is an integer number (765408).

Almost surely, 210827401 is an apocalyptic number.

It is an amenable number.

10827401 is a deficient number, since it is larger than the sum of its proper divisors (1419127).

10827401 is a wasteful number, since it uses less digits than its factorization.

10827401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512.

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 10827401 is about 3290.5016334899. The cubic root of 10827401 is about 221.2286693556.

The spelling of 10827401 in words is "ten million, eight hundred twenty-seven thousand, four hundred one".

Divisors: 1 13 31 67 401 403 871 2077 5213 12431 26867 27001 161603 349271 832877 10827401