Search a number
-
+
865369440 = 253351319811
BaseRepresentation
bin110011100101000…
…111110101100000
32020022100022201000
4303211013311200
53233013310230
6221511512000
730305342655
oct6345076540
92208308630
10865369440
11404529961
12201988600
1310a38cb30
1482d03c2c
1550e8ab60
hex33947d60

865369440 has 384 divisors, whose sum is σ = 3437683200. Its totient is φ = 201553920.

The previous prime is 865369429. The next prime is 865369441. The reversal of 865369440 is 44963568.

865369440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (865369441) 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, 1066635 + ... + 1067445.

It is an arithmetic number, because the mean of its divisors is an integer number (8952300).

Almost surely, 2865369440 is an apocalyptic number.

865369440 is a gapful number since it is divisible by the number (80) 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 865369440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718841600).

865369440 is an abundant number, since it is smaller than the sum of its proper divisors (2572313760).

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

865369440 is a wasteful number, since it uses less digits than its factorization.

865369440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 865369440 is about 29417.1623376559. The cubic root of 865369440 is about 952.9435716877.

The spelling of 865369440 in words is "eight hundred sixty-five million, three hundred sixty-nine thousand, four hundred forty".