Search a number
-
+
10470887280 = 2433571734003
BaseRepresentation
bin10011100000001110…
…10000111101110000
31000000201211012001000
421300013100331300
5132421021343110
64451003242000
7520323034110
oct116007207560
930021735030
1010470887280
1144935a7657
122042819300
13cab41b3b9
147148db040
154143c51c0
hex2701d0f70

10470887280 has 320 divisors, whose sum is σ = 41467345920. Its totient is φ = 2378916864.

The previous prime is 10470887279. The next prime is 10470887281. The reversal of 10470887280 is 8278807401.

It is an interprime number because it is at equal distance from previous prime (10470887279) and next prime (10470887281).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10470887281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2613759 + ... + 2617761.

It is an arithmetic number, because the mean of its divisors is an integer number (129585456).

Almost surely, 210470887280 is an apocalyptic number.

10470887280 is a gapful number since it is divisible by the number (10) 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 10470887280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20733672960).

10470887280 is an abundant number, since it is smaller than the sum of its proper divisors (30996458640).

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

10470887280 is a wasteful number, since it uses less digits than its factorization.

10470887280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 10470887280 in words is "ten billion, four hundred seventy million, eight hundred eighty-seven thousand, two hundred eighty".