Search a number
-
+
2505120000 = 2835417307
BaseRepresentation
bin1001010101010001…
…0001100100000000
320110120211021121020
42111110101210000
520112302320000
61052325225440
7116036111565
oct22524214400
96416737536
102505120000
111076090809
1259ab62280
1330c002a36
1419a9c486c
15e9ddcba0
hex95511900

2505120000 has 360 divisors, whose sum is σ = 8850242016. Its totient is φ = 626688000.

The previous prime is 2505119989. The next prime is 2505120011. The reversal of 2505120000 is 215052.

It is an interprime number because it is at equal distance from previous prime (2505119989) and next prime (2505120011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8159847 + ... + 8160153.

Almost surely, 22505120000 is an apocalyptic number.

2505120000 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 2505120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425121008).

2505120000 is an abundant number, since it is smaller than the sum of its proper divisors (6345122016).

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

2505120000 is an equidigital number, since it uses as much as digits as its factorization.

2505120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2505120000 is about 50051.1738124092. The cubic root of 2505120000 is about 1358.1346977241.

Adding to 2505120000 its reverse (215052), we get a palindrome (2505335052).

It can be divided in two parts, 250 and 5120000, that multiplied together give a 7-th power (1280000000 = 207).

The spelling of 2505120000 in words is "two billion, five hundred five million, one hundred twenty thousand".