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45130000 = 24544513
BaseRepresentation
bin1010110000101…
…0000100010000
310010220211201111
42230022010100
543023130000
64251143104
71055412226
oct254120420
9103824644
1045130000
1123524923
1213144a94
139471856
145dcab16
153e66cba
hex2b0a110

45130000 has 50 divisors (see below), whose sum is σ = 109288454. Its totient is φ = 18048000.

The previous prime is 45129989. The next prime is 45130009. The reversal of 45130000 is 3154.

It can be written as a sum of positive squares in 5 ways, for example, as 34292736 + 10837264 = 5856^2 + 3292^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (45130009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7744 + ... + 12256.

Almost surely, 245130000 is an apocalyptic number.

45130000 is a gapful number since it is divisible by the number (40) 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 45130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54644227).

45130000 is an abundant number, since it is smaller than the sum of its proper divisors (64158454).

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

45130000 is an equidigital number, since it uses as much as digits as its factorization.

45130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 45130000 is about 6717.8865724274. The cubic root of 45130000 is about 356.0315167990.

Adding to 45130000 its reverse (3154), we get a palindrome (45133154).

The spelling of 45130000 in words is "forty-five million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 4513 5000 9026 10000 18052 22565 36104 45130 72208 90260 112825 180520 225650 361040 451300 564125 902600 1128250 1805200 2256500 2820625 4513000 5641250 9026000 11282500 22565000 45130000