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880040 = 23572449
BaseRepresentation
bin11010110110110101000
31122201012002
43112312220
5211130130
630510132
710323500
oct3266650
91581162
10880040
11551207
12365348
1324a745
1418ca00
15125b45
hexd6da8

880040 has 48 divisors (see below), whose sum is σ = 2308500. Its totient is φ = 301056.

The previous prime is 880031. The next prime is 880043. The reversal of 880040 is 40088.

It can be written as a sum of positive squares in 2 ways, for example, as 879844 + 196 = 938^2 + 14^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 879994 and 880021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1736 + ... + 2184.

2880040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154250).

880040 is an abundant number, since it is smaller than the sum of its proper divisors (1428460).

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

880040 is a wasteful number, since it uses less digits than its factorization.

880040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 880040 is about 938.1044717941. The cubic root of 880040 is about 95.8298490647.

The spelling of 880040 in words is "eight hundred eighty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 449 490 898 980 1796 1960 2245 3143 3592 4490 6286 8980 12572 15715 17960 22001 25144 31430 44002 62860 88004 110005 125720 176008 220010 440020 880040