Search a number
-
+
20017137 = 375397
BaseRepresentation
bin100110001011…
…0111111110001
31101122222100110
41030112333301
520111022022
61553011533
7332100000
oct114267761
941588313
1020017137
1110332198
126853ba9
1341bb17a
142930c37
151b5600c
hex1316ff1

20017137 has 24 divisors (see below), whose sum is σ = 31215936. Its totient is φ = 11409552.

The previous prime is 20017133. The next prime is 20017141. The reversal of 20017137 is 73171002.

It is an interprime number because it is at equal distance from previous prime (20017133) and next prime (20017141).

It is not a de Polignac number, because 20017137 - 22 = 20017133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (20017133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50223 + ... + 50619.

It is an arithmetic number, because the mean of its divisors is an integer number (1300664).

Almost surely, 220017137 is an apocalyptic number.

It is an amenable number.

20017137 is a deficient number, since it is larger than the sum of its proper divisors (11198799).

20017137 is an frugal number, since it uses more digits than its factorization.

20017137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 20017137 is about 4474.0515195961. The cubic root of 20017137 is about 271.5192678178.

Adding to 20017137 its reverse (73171002), we get a palindrome (93188139).

The spelling of 20017137 in words is "twenty million, seventeen thousand, one hundred thirty-seven".

Divisors: 1 3 7 21 49 147 343 397 1029 1191 2401 2779 7203 8337 16807 19453 50421 58359 136171 408513 953197 2859591 6672379 20017137