Search a number
-
+
20038629 = 3131134547
BaseRepresentation
bin100110001110…
…0001111100101
31101201001211110
41030130033211
520112214004
61553255233
7332216442
oct114341745
941631743
1020038629
1110347356
126864519
1341c7ba0
1429389c9
151b5c589
hex131c3e5

20038629 has 16 divisors (see below), whose sum is σ = 29034432. Its totient is φ = 12219648.

The previous prime is 20038619. The next prime is 20038637. The reversal of 20038629 is 92683002.

It is not a de Polignac number, because 20038629 - 28 = 20038373 is a prime.

It is a super-3 number, since 3×200386293 (a number of 23 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20038596 and 20038605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20038609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2134 + ... + 6680.

It is an arithmetic number, because the mean of its divisors is an integer number (1814652).

Almost surely, 220038629 is an apocalyptic number.

It is an amenable number.

20038629 is a deficient number, since it is larger than the sum of its proper divisors (8995803).

20038629 is a wasteful number, since it uses less digits than its factorization.

20038629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 20038629 is about 4476.4527250938. The cubic root of 20038629 is about 271.6164079977.

The spelling of 20038629 in words is "twenty million, thirty-eight thousand, six hundred twenty-nine".

Divisors: 1 3 13 39 113 339 1469 4407 4547 13641 59111 177333 513811 1541433 6679543 20038629