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5410000000 = 2757541
BaseRepresentation
bin1010000100111011…
…00000110010000000
3111222000212110211101
411002131200302000
542034430000000
62252455024144
7251031145516
oct50235406200
914860773741
105410000000
112326893089
12106b96b054
13682a91a42
1439470a4b6
15219e42e6a
hex142760c80

5410000000 has 128 divisors (see below), whose sum is σ = 13497035760. Its totient is φ = 2160000000.

The previous prime is 5409999983. The next prime is 5410000007. The reversal of 5410000000 is 145.

It can be written as a sum of positive squares in 8 ways, for example, as 5111678016 + 298321984 = 71496^2 + 17272^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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 not an unprimeable number, because it can be changed into a prime (5410000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9999730 + ... + 10000270.

Almost surely, 25410000000 is an apocalyptic number.

5410000000 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 5410000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748517880).

5410000000 is an abundant number, since it is smaller than the sum of its proper divisors (8087035760).

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

5410000000 is an frugal number, since it uses more digits than its factorization.

5410000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 548 counting only the distinct ones).

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

The square root of 5410000000 is about 73552.7021937332. The cubic root of 5410000000 is about 1755.4929446476.

Adding to 5410000000 its reverse (145), we get a palindrome (5410000145).

The spelling of 5410000000 in words is "five billion, four hundred ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 541 625 640 800 1000 1082 1250 1600 2000 2164 2500 2705 3125 3200 4000 4328 5000 5410 6250 8000 8656 10000 10820 12500 13525 15625 16000 17312 20000 21640 25000 27050 31250 34624 40000 43280 50000 54100 62500 67625 69248 78125 80000 86560 100000 108200 125000 135250 156250 173120 200000 216400 250000 270500 312500 338125 346240 400000 432800 500000 541000 625000 676250 865600 1000000 1082000 1250000 1352500 1690625 1731200 2000000 2164000 2500000 2705000 3381250 4328000 5000000 5410000 6762500 8453125 8656000 10000000 10820000 13525000 16906250 21640000 27050000 33812500 42265625 43280000 54100000 67625000 84531250 108200000 135250000 169062500 216400000 270500000 338125000 541000000 676250000 1082000000 1352500000 2705000000 5410000000