Search a number
-
+
2798160 = 243589131
BaseRepresentation
bin1010101011001001010000
312021011100120
422223021100
51204020120
6135550240
732532621
oct12531120
95234316
102798160
111641332
12b2b380
1376c821
1452ba48
153a4140
hex2ab250

2798160 has 80 divisors (see below), whose sum is σ = 8838720. Its totient is φ = 732160.

The previous prime is 2798143. The next prime is 2798161. The reversal of 2798160 is 618972.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2798161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21295 + ... + 21425.

It is an arithmetic number, because the mean of its divisors is an integer number (110484).

22798160 is an apocalyptic number.

2798160 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 2798160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360).

2798160 is an abundant number, since it is smaller than the sum of its proper divisors (6040560).

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

2798160 is a wasteful number, since it uses less digits than its factorization.

2798160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2798160 is about 1672.7701575530. The cubic root of 2798160 is about 140.9150939958.

The spelling of 2798160 in words is "two million, seven hundred ninety-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 131 178 240 262 267 356 393 445 524 534 655 712 786 890 1048 1068 1310 1335 1424 1572 1780 1965 2096 2136 2620 2670 3144 3560 3930 4272 5240 5340 6288 7120 7860 10480 10680 11659 15720 21360 23318 31440 34977 46636 58295 69954 93272 116590 139908 174885 186544 233180 279816 349770 466360 559632 699540 932720 1399080 2798160