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2748040 = 2352329103
BaseRepresentation
bin1010011110111010001000
312011121121021
422132322020
51200414130
6134522224
732233531
oct12367210
95147537
102748040
111607709
12b06374
13752a79
14517688
1539437a
hex29ee88

2748040 has 64 divisors (see below), whose sum is σ = 6739200. Its totient is φ = 1005312.

The previous prime is 2748037. The next prime is 2748041. The reversal of 2748040 is 408472.

2748040 = 4212 + 4222 + ... + 4352.

2748040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2747996 and 2748014.

It is not an unprimeable number, because it can be changed into a prime (2748041) by changing a digit.

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, 26629 + ... + 26731.

It is an arithmetic number, because the mean of its divisors is an integer number (105300).

22748040 is an apocalyptic number.

2748040 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 2748040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369600).

2748040 is an abundant number, since it is smaller than the sum of its proper divisors (3991160).

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

2748040 is a wasteful number, since it uses less digits than its factorization.

2748040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2748040 is about 1657.7213276061. The cubic root of 2748040 is about 140.0686737911.

The spelling of 2748040 in words is "two million, seven hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 103 115 116 145 184 206 230 232 290 412 460 515 580 667 824 920 1030 1160 1334 2060 2369 2668 2987 3335 4120 4738 5336 5974 6670 9476 11845 11948 13340 14935 18952 23690 23896 26680 29870 47380 59740 68701 94760 119480 137402 274804 343505 549608 687010 1374020 2748040