Search a number
-
+
885400560 = 2432511210163
BaseRepresentation
bin110100110001100…
…010001111110000
32021201001000020100
4310301202033300
53303130304220
6223505112400
730640531512
oct6461421760
92251030210
10885400560
11414870600
12208628700
13111584475
1485839bb2
1552ae5d90
hex34c623f0

885400560 has 180 divisors, whose sum is σ = 3268681416. Its totient is φ = 214621440.

The previous prime is 885400559. The next prime is 885400567. The reversal of 885400560 is 65004588.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (885400567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82039 + ... + 92201.

Almost surely, 2885400560 is an apocalyptic number.

885400560 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 885400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634340708).

885400560 is an abundant number, since it is smaller than the sum of its proper divisors (2383280856).

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

885400560 is a wasteful number, since it uses less digits than its factorization.

885400560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10204 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 885400560 is about 29755.6811382297. The cubic root of 885400560 is about 960.2403044260.

The spelling of 885400560 in words is "eight hundred eighty-five million, four hundred thousand, five hundred sixty".