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2798040 = 233573331
BaseRepresentation
bin1010101011000111011000
312021011012010
422223013120
51204014130
6135545520
732532360
oct12530730
95234163
102798040
111641233
12b2b2a0
1376c75b
1452b9a0
153a40b0
hex2ab1d8

2798040 has 64 divisors (see below), whose sum is σ = 9596160. Its totient is φ = 639360.

The previous prime is 2798023. The next prime is 2798069. The reversal of 2798040 is 408972.

2798040 = T203 + T204 + ... + T292.

2798040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2797989 and 2798007.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 826 + ... + 2505.

It is an arithmetic number, because the mean of its divisors is an integer number (149940).

22798040 is an apocalyptic number.

2798040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2798040 is an abundant number, since it is smaller than the sum of its proper divisors (6798120).

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

2798040 is a wasteful number, since it uses less digits than its factorization.

2798040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2798040 is about 1672.7342885228. The cubic root of 2798040 is about 140.9130795705.

The spelling of 2798040 in words is "two million, seven hundred ninety-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 3331 6662 9993 13324 16655 19986 23317 26648 33310 39972 46634 49965 66620 69951 79944 93268 99930 116585 133240 139902 186536 199860 233170 279804 349755 399720 466340 559608 699510 932680 1399020 2798040