Search a number
-
+
880088 = 231173137
BaseRepresentation
bin11010110110111011000
31122201020212
43112313120
5211130323
630510252
710323566
oct3266730
91581225
10880088
11551250
12365388
1324a781
1418ca36
15125b78
hexd6dd8

880088 has 32 divisors (see below), whose sum is σ = 1838160. Its totient is φ = 391680.

The previous prime is 880069. The next prime is 880091.

880088 is nontrivially palindromic in base 10.

880088 is a strobogrammatic number because it is the same when read upside-down.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

880088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6356 + ... + 6492.

2880088 is an apocalyptic number.

880088 is a gapful number since it is divisible by the number (88) 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 880088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919080).

880088 is an abundant number, since it is smaller than the sum of its proper divisors (958072).

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

880088 is a wasteful number, since it uses less digits than its factorization.

880088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 880088 is about 938.1300549497. The cubic root of 880088 is about 95.8315913147.

It can be divided in two parts, 8800 and 88, that multiplied together give a square (774400 = 8802).

The spelling of 880088 in words is "eight hundred eighty thousand, eighty-eight".

Divisors: 1 2 4 8 11 22 44 73 88 137 146 274 292 548 584 803 1096 1507 1606 3014 3212 6028 6424 10001 12056 20002 40004 80008 110011 220022 440044 880088