Search a number
-
+
20314170 = 23251311723
BaseRepresentation
bin100110101111…
…1100000111010
31102020001210200
41031133200322
520200023140
62003223030
7334444662
oct115374072
942201720
1020314170
1110515378
126977a76
134293426
1429ab1a2
151bb4030
hex135f83a

20314170 has 48 divisors (see below), whose sum is σ = 53250912. Its totient is φ = 5372640.

The previous prime is 20314169. The next prime is 20314171. The reversal of 20314170 is 7141302.

It is an interprime number because it is at equal distance from previous prime (20314169) and next prime (20314171).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20314171) 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, 10929 + ... + 12651.

It is an arithmetic number, because the mean of its divisors is an integer number (1109394).

Almost surely, 220314170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26625456).

20314170 is an abundant number, since it is smaller than the sum of its proper divisors (32936742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20314170 is a wasteful number, since it uses less digits than its factorization.

20314170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 20314170 is about 4507.1243603877. The cubic root of 20314170 is about 272.8556980008.

Adding to 20314170 its reverse (7141302), we get a palindrome (27455472).

The spelling of 20314170 in words is "twenty million, three hundred fourteen thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1723 1965 2358 3446 3930 5169 5895 8615 10338 11790 15507 17230 25845 31014 51690 77535 155070 225713 451426 677139 1128565 1354278 2031417 2257130 3385695 4062834 6771390 10157085 20314170