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541380 = 223571289
BaseRepresentation
bin10000100001011000100
31000111122010
42010023010
5114311010
615334220
74413240
oct2041304
91014563
10541380
1133a824
12221370
1315c558
14101420
15aa620
hex842c4

541380 has 48 divisors (see below), whose sum is σ = 1733760. Its totient is φ = 123648.

The previous prime is 541369. The next prime is 541381. The reversal of 541380 is 83145.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (541381) 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, 225 + ... + 1064.

It is an arithmetic number, because the mean of its divisors is an integer number (36120).

2541380 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 541380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866880).

541380 is an abundant number, since it is smaller than the sum of its proper divisors (1192380).

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

541380 is a wasteful number, since it uses less digits than its factorization.

541380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 541380 is about 735.7852947702. The cubic root of 541380 is about 81.5018379402.

The spelling of 541380 in words is "five hundred forty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1289 2578 3867 5156 6445 7734 9023 12890 15468 18046 19335 25780 27069 36092 38670 45115 54138 77340 90230 108276 135345 180460 270690 541380