Search a number
-
+
405143420 = 2251143113379
BaseRepresentation
bin11000001001011…
…111111101111100
31001020100102021212
4120021133331330
51312204042140
6104111343552
713016443103
oct3011377574
91036312255
10405143420
11198769280
12b3821bb8
1365c22746
143bb4303a
152587c765
hex1825ff7c

405143420 has 96 divisors (see below), whose sum is σ = 960664320. Its totient is φ = 142248960.

The previous prime is 405143407. The next prime is 405143423. The reversal of 405143420 is 24341504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405143423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068791 + ... + 1069169.

It is an arithmetic number, because the mean of its divisors is an integer number (10006920).

Almost surely, 2405143420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405143420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480332160).

405143420 is an abundant number, since it is smaller than the sum of its proper divisors (555520900).

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

405143420 is a wasteful number, since it uses less digits than its factorization.

405143420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 405143420 is about 20128.1747806402. The cubic root of 405143420 is about 739.9509463466.

Adding to 405143420 its reverse (24341504), we get a palindrome (429484924).

It can be divided in two parts, 40514 and 3420, that added together give a palindrome (43934).

The spelling of 405143420 in words is "four hundred five million, one hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 113 172 215 220 226 379 430 452 473 565 758 860 946 1130 1243 1516 1892 1895 2260 2365 2486 3790 4169 4730 4859 4972 6215 7580 8338 9460 9718 12430 16297 16676 19436 20845 24295 24860 32594 41690 42827 48590 53449 65188 81485 83380 85654 97180 106898 162970 171308 179267 213796 214135 267245 325940 358534 428270 471097 534490 717068 856540 896335 942194 1068980 1792670 1841561 1884388 2355485 3585340 3683122 4710970 7366244 9207805 9421940 18415610 20257171 36831220 40514342 81028684 101285855 202571710 405143420