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13400105 = 537113641
BaseRepresentation
bin110011000111…
…100000101001
3221012210111012
4303013200221
511412300410
61155113305
7221620235
oct63074051
927183435
1013400105
117622774
1245a2835
132a12374
141acb5c5
15129a605
hexcc7829

13400105 has 16 divisors (see below), whose sum is σ = 16686864. Its totient is φ = 10321920.

The previous prime is 13400089. The next prime is 13400129. The reversal of 13400105 is 50100431.

It can be written as a sum of positive squares in 8 ways, for example, as 55696 + 13344409 = 236^2 + 3653^2 .

It is not a de Polignac number, because 13400105 - 24 = 13400089 is a prime.

It is a super-2 number, since 2×134001052 = 359125628022050, 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 13400105.

It is an unprimeable 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, 20585 + ... + 21225.

It is an arithmetic number, because the mean of its divisors is an integer number (1042929).

Almost surely, 213400105 is an apocalyptic number.

It is an amenable number.

13400105 is a deficient number, since it is larger than the sum of its proper divisors (3286759).

13400105 is a wasteful number, since it uses less digits than its factorization.

13400105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 13400105 is about 3660.6153854236. The cubic root of 13400105 is about 237.5213941946.

Adding to 13400105 its reverse (50100431), we get a palindrome (63500536).

The spelling of 13400105 in words is "thirteen million, four hundred thousand, one hundred five".

Divisors: 1 5 37 113 185 565 641 3205 4181 20905 23717 72433 118585 362165 2680021 13400105