Search a number
-
+
541155400 = 23526144357
BaseRepresentation
bin100000010000010…
…110000001001000
31101201021112122121
4200100112001020
52102013433100
6125410501024
716260513352
oct4020260110
91351245577
10541155400
11258517075
12131294774
13881647c6
1451c2a0d2
153279751a
hex20416048

541155400 has 48 divisors (see below), whose sum is σ = 1278841140. Its totient is φ = 212908800.

The previous prime is 541155371. The next prime is 541155421. The reversal of 541155400 is 4551145.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 177795556 + 363359844 = 13334^2 + 19062^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9979 + ... + 34378.

Almost surely, 2541155400 is an apocalyptic number.

541155400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541155400 is an abundant number, since it is smaller than the sum of its proper divisors (737685740).

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

541155400 is a wasteful number, since it uses less digits than its factorization.

541155400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44434 (or 44425 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 541155400 is about 23262.7470432879. The cubic root of 541155400 is about 814.9056560846.

The spelling of 541155400 in words is "five hundred forty-one million, one hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 44357 88714 177428 221785 354856 443570 887140 1108925 1774280 2217850 2705777 4435700 5411554 8871400 10823108 13528885 21646216 27057770 54115540 67644425 108231080 135288850 270577700 541155400