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2798460 = 2232572221
BaseRepresentation
bin1010101011001101111100
312021011202200
422223031330
51204022320
6135551500
732533530
oct12531574
95234680
102798460
111641585
12b2b590
1376c9c2
1452bbc0
153a4290
hex2ab37c

2798460 has 72 divisors (see below), whose sum is σ = 9705696. Its totient is φ = 639360.

The previous prime is 2798459. The next prime is 2798461. The reversal of 2798460 is 648972.

It is an interprime number because it is at equal distance from previous prime (2798459) and next prime (2798461).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2798461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150 + ... + 2370.

22798460 is an apocalyptic number.

2798460 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 2798460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852848).

2798460 is an abundant number, since it is smaller than the sum of its proper divisors (6907236).

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

2798460 is a wasteful number, since it uses less digits than its factorization.

2798460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2798460 is about 1672.8598267637. The cubic root of 2798460 is about 140.9201298071.

The spelling of 2798460 in words is "two million, seven hundred ninety-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2221 4442 6663 8884 11105 13326 15547 19989 22210 26652 31094 33315 39978 44420 46641 62188 66630 77735 79956 93282 99945 133260 139923 155470 186564 199890 233205 279846 310940 399780 466410 559692 699615 932820 1399230 2798460