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541000000 = 2656541
BaseRepresentation
bin100000001111110…
…000000101000000
31101200222122111001
4200033300011000
52101444000000
6125403301344
716256265322
oct4017600500
91350878431
10541000000
11258420342
1213121a854
138810bb58
1451bc9612
153276646a
hex203f0140

541000000 has 98 divisors (see below), whose sum is σ = 1344396854. Its totient is φ = 216000000.

The previous prime is 540999989. The next prime is 541000013. The reversal of 541000000 is 145.

It can be written as a sum of positive squares in 7 ways, for example, as 537126976 + 3873024 = 23176^2 + 1968^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999730 + ... + 1000270.

Almost surely, 2541000000 is an apocalyptic number.

541000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672198427).

541000000 is an abundant number, since it is smaller than the sum of its proper divisors (803396854).

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

541000000 is an frugal number, since it uses more digits than its factorization.

541000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 541000000 is about 23259.4066992260. The cubic root of 541000000 is about 814.8276449362.

Adding to 541000000 its reverse (145), we get a palindrome (541000145).

The spelling of 541000000 in words is "five hundred forty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 541 625 800 1000 1082 1250 1600 2000 2164 2500 2705 3125 4000 4328 5000 5410 6250 8000 8656 10000 10820 12500 13525 15625 17312 20000 21640 25000 27050 31250 34624 40000 43280 50000 54100 62500 67625 86560 100000 108200 125000 135250 173120 200000 216400 250000 270500 338125 432800 500000 541000 676250 865600 1000000 1082000 1352500 1690625 2164000 2705000 3381250 4328000 5410000 6762500 8453125 10820000 13525000 16906250 21640000 27050000 33812500 54100000 67625000 108200000 135250000 270500000 541000000