Search a number
-
+
10745280 = 2632571341
BaseRepresentation
bin101000111111…
…010111000000
3202012220202100
4220333113000
510222322110
61022150400
7160222230
oct50772700
922186670
1010745280
11607a0a7
123722400
1322c2b70
1415d9cc0
15e23bc0
hexa3f5c0

10745280 has 336 divisors, whose sum is σ = 46597824. Its totient is φ = 2211840.

The previous prime is 10745249. The next prime is 10745291. The reversal of 10745280 is 8254701.

10745280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×107452802 = 230922084556800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262060 + ... + 262100.

It is an arithmetic number, because the mean of its divisors is an integer number (138684).

Almost surely, 210745280 is an apocalyptic number.

10745280 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 10745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298912).

10745280 is an abundant number, since it is smaller than the sum of its proper divisors (35852544).

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

10745280 is a wasteful number, since it uses less digits than its factorization.

10745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10745280 is about 3277.9993898718. Note that the first 3 decimals coincide. The cubic root of 10745280 is about 220.6679424580.

Adding to 10745280 its reverse (8254701), we get a palindrome (18999981).

It can be divided in two parts, 10745 and 280, that added together give a square (11025 = 1052).

The spelling of 10745280 in words is "ten million, seven hundred forty-five thousand, two hundred eighty".