Search a number
-
+
20112240 = 2435471783
BaseRepresentation
bin100110010111…
…0001101110000
31101211210210210
41030232031300
520122042430
61555024120
7332644161
oct114561560
941753723
1020112240
1110397695
12689b040
134222545
142957768
151b742b0
hex132e370

20112240 has 80 divisors (see below), whose sum is σ = 63710208. Its totient is φ = 5246208.

The previous prime is 20112233. The next prime is 20112251. The reversal of 20112240 is 4221102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10389 + ... + 12171.

Almost surely, 220112240 is an apocalyptic number.

20112240 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 20112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31855104).

20112240 is an abundant number, since it is smaller than the sum of its proper divisors (43597968).

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

20112240 is a wasteful number, since it uses less digits than its factorization.

20112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20112240 is about 4484.6672117338. The cubic root of 20112240 is about 271.9485917838.

Adding to 20112240 its reverse (4221102), we get a palindrome (24333342).

The spelling of 20112240 in words is "twenty million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1783 1880 2256 2820 3566 3760 5349 5640 7132 8915 10698 11280 14264 17830 21396 26745 28528 35660 42792 53490 71320 83801 85584 106980 142640 167602 213960 251403 335204 419005 427920 502806 670408 838010 1005612 1257015 1340816 1676020 2011224 2514030 3352040 4022448 5028060 6704080 10056120 20112240