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2378080 = 25589167
BaseRepresentation
bin1001000100100101100000
311110211010001
421010211200
51102044310
6122545344
726133115
oct11044540
94424101
102378080
111384761
12968254
13653563
1445c90c
1531e93a
hex244960

2378080 has 48 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 934912.

The previous prime is 2378071. The next prime is 2378107. The reversal of 2378080 is 808732.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14157 + ... + 14323.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

22378080 is an apocalyptic number.

2378080 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 2378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857680).

2378080 is an abundant number, since it is smaller than the sum of its proper divisors (3337280).

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

2378080 is a wasteful number, since it uses less digits than its factorization.

2378080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2378080 is about 1542.1024609279. The cubic root of 2378080 is about 133.4777324492.

The spelling of 2378080 in words is "two million, three hundred seventy-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 167 178 334 356 445 668 712 835 890 1336 1424 1670 1780 2672 2848 3340 3560 5344 6680 7120 13360 14240 14863 26720 29726 59452 74315 118904 148630 237808 297260 475616 594520 1189040 2378080