Search a number
-
+
541161400 = 235213208139
BaseRepresentation
bin100000010000010…
…111011110111000
31101201021211212211
4200100113132320
52102014131100
6125410544504
716260540013
oct4020273670
91351254784
10541161400
1125852062a
12131298134
1388167460
1451c2c37a
15327991ba
hex204177b8

541161400 has 48 divisors (see below), whose sum is σ = 1354991400. Its totient is φ = 199812480.

The previous prime is 541161377. The next prime is 541161409. The reversal of 541161400 is 4161145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541161409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101470 + ... + 106669.

Almost surely, 2541161400 is an apocalyptic number.

541161400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541161400 is an abundant number, since it is smaller than the sum of its proper divisors (813830000).

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

541161400 is a wasteful number, since it uses less digits than its factorization.

541161400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208168 (or 208159 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 541161400 is about 23262.8760044841. The cubic root of 541161400 is about 814.9086677986.

The spelling of 541161400 in words is "five hundred forty-one million, one hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 208139 416278 832556 1040695 1665112 2081390 2705807 4162780 5203475 5411614 8325560 10406950 10823228 13529035 20813900 21646456 27058070 41627800 54116140 67645175 108232280 135290350 270580700 541161400