Search a number
-
+
20483160 = 23351311303
BaseRepresentation
bin100111000100…
…0110001011000
31102112122121120
41032020301120
520220430120
62011005240
7336050445
oct116106130
942478546
1020483160
1110620335
126a39820
134322319
142a129cc
151be9140
hex1388c58

20483160 has 64 divisors (see below), whose sum is σ = 61966080. Its totient is φ = 5416320.

The previous prime is 20483153. The next prime is 20483161. The reversal of 20483160 is 6138402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20483160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20483161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15069 + ... + 16371.

It is an arithmetic number, because the mean of its divisors is an integer number (968220).

Almost surely, 220483160 is an apocalyptic number.

20483160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20483160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30983040).

20483160 is an abundant number, since it is smaller than the sum of its proper divisors (41482920).

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

20483160 is a wasteful number, since it uses less digits than its factorization.

20483160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20483160 is about 4525.8325201006. The cubic root of 20483160 is about 273.6102224217.

The spelling of 20483160 in words is "twenty million, four hundred eighty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1303 1310 1572 1965 2606 2620 3144 3909 3930 5212 5240 6515 7818 7860 10424 13030 15636 15720 19545 26060 31272 39090 52120 78180 156360 170693 341386 512079 682772 853465 1024158 1365544 1706930 2048316 2560395 3413860 4096632 5120790 6827720 10241580 20483160