Search a number
-
+
541420 = 2251123107
BaseRepresentation
bin10000100001011101100
31000111200121
42010023230
5114311140
615334324
74413325
oct2041354
91014617
10541420
1133a860
122213a4
1315c589
1410144c
15aa64a
hex842ec

541420 has 48 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 186560.

The previous prime is 541417. The next prime is 541439. The reversal of 541420 is 24145.

541420 = T39 + T40 + ... + T148.

It is a junction number, because it is equal to n+sod(n) for n = 541394 and 541403.

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, 5007 + ... + 5113.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2541420 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 541420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184).

541420 is an abundant number, since it is smaller than the sum of its proper divisors (764948).

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

541420 is a wasteful number, since it uses less digits than its factorization.

541420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 541420 is about 735.8124761106. The cubic root of 541420 is about 81.5038451521.

Adding to 541420 its reverse (24145), we get a palindrome (565565).

It can be divided in two parts, 541 and 420, that added together give a square (961 = 312).

The spelling of 541420 in words is "five hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 107 110 115 214 220 230 253 428 460 506 535 1012 1070 1177 1265 2140 2354 2461 2530 4708 4922 5060 5885 9844 11770 12305 23540 24610 27071 49220 54142 108284 135355 270710 541420