Search a number
-
+
36421 = 711243
BaseRepresentation
bin1000111001000101
31211221221
420321011
52131141
6440341
7211120
oct107105
954857
1036421
1125400
12190b1
1313768
14d3b7
15abd1
hex8e45

36421 has 12 divisors (see below), whose sum is σ = 46816. Its totient is φ = 27720.

The previous prime is 36389. The next prime is 36433. The reversal of 36421 is 12463.

It is not a de Polignac number, because 36421 - 25 = 36389 is a prime.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (144) is a multiple of the sum of its prime factors (72).

It is a junction number, because it is equal to n+sod(n) for n = 36395 and 36404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 826 + ... + 868.

236421 is an apocalyptic number.

36421 is the 121-st heptagonal number.

It is an amenable number.

36421 is a deficient number, since it is larger than the sum of its proper divisors (10395).

36421 is a wasteful number, since it uses less digits than its factorization.

36421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 61 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 36421 is about 190.8428673019. The cubic root of 36421 is about 33.1474879932.

Adding to 36421 its reverse (12463), we get a palindrome (48884).

The spelling of 36421 in words is "thirty-six thousand, four hundred twenty-one".

Divisors: 1 7 11 43 77 121 301 473 847 3311 5203 36421