Search a number
-
+
2294080 = 26567107
BaseRepresentation
bin1000110000000101000000
311022112212221
420300011000
51041402310
6121100424
725333165
oct10600500
94275787
102294080
111327638
12927714
13624259
1443a06c
15304ada
hex230140

2294080 has 56 divisors (see below), whose sum is σ = 5596128. Its totient is φ = 895488.

The previous prime is 2294077. The next prime is 2294113. The reversal of 2294080 is 804922.

2294080 = T39 + T40 + ... + T239.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21387 + ... + 21493.

22294080 is an apocalyptic number.

2294080 is a gapful number since it is divisible by the number (20) 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 2294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798064).

2294080 is an abundant number, since it is smaller than the sum of its proper divisors (3302048).

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

2294080 is a wasteful number, since it uses less digits than its factorization.

2294080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2294080 is about 1514.6220650710. The cubic root of 2294080 is about 131.8872621737.

The spelling of 2294080 in words is "two million, two hundred ninety-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 107 134 160 214 268 320 335 428 535 536 670 856 1070 1072 1340 1712 2140 2144 2680 3424 4280 4288 5360 6848 7169 8560 10720 14338 17120 21440 28676 34240 35845 57352 71690 114704 143380 229408 286760 458816 573520 1147040 2294080