Search a number
-
+
245130000 = 243548171
BaseRepresentation
bin11101001110001…
…10001100010000
3122002020220010220
432213012030100
51000223130000
640153553040
76034366503
oct1647061420
9562226126
10245130000
11116407885
126a115780
133ba28b4b
14247ad13a
15167c11a0
hexe9c6310

245130000 has 100 divisors (see below), whose sum is σ = 791409168. Its totient is φ = 65360000.

The previous prime is 245129981. The next prime is 245130007. The reversal of 245130000 is 31542.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (245130007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25915 + ... + 34085.

Almost surely, 2245130000 is an apocalyptic number.

245130000 is a gapful number since it is divisible by the number (20) 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 245130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395704584).

245130000 is an abundant number, since it is smaller than the sum of its proper divisors (546279168).

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

245130000 is an equidigital number, since it uses as much as digits as its factorization.

245130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8202 (or 8181 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 245130000 is about 15656.6279894491. The cubic root of 245130000 is about 625.8431287694.

Adding to 245130000 its reverse (31542), we get a palindrome (245161542).

The spelling of 245130000 in words is "two hundred forty-five million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 8171 10000 15000 16342 24513 30000 32684 40855 49026 65368 81710 98052 122565 130736 163420 196104 204275 245130 326840 392208 408550 490260 612825 653680 817100 980520 1021375 1225650 1634200 1961040 2042750 2451300 3064125 3268400 4085500 4902600 5106875 6128250 8171000 9805200 10213750 12256500 15320625 16342000 20427500 24513000 30641250 40855000 49026000 61282500 81710000 122565000 245130000