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2926040 = 2351317331
BaseRepresentation
bin1011001010010111011000
312111122202212
423022113120
51222113130
6142414252
733604505
oct13122730
95448685
102926040
111719417
12b91388
137b5ab0
145624ac
153cbe95
hex2ca5d8

2926040 has 64 divisors (see below), whose sum is σ = 7529760. Its totient is φ = 1013760.

The previous prime is 2926039. The next prime is 2926051. The reversal of 2926040 is 406292.

2926040 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 = 2925997 and 2926015.

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, 8675 + ... + 9005.

22926040 is an apocalyptic number.

2926040 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 2926040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764880).

2926040 is an abundant number, since it is smaller than the sum of its proper divisors (4603720).

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

2926040 is a wasteful number, since it uses less digits than its factorization.

2926040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2926040 is about 1710.5671574072. The cubic root of 2926040 is about 143.0298729707.

The spelling of 2926040 in words is "two million, nine hundred twenty-six thousand, forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 331 340 442 520 662 680 884 1105 1324 1655 1768 2210 2648 3310 4303 4420 5627 6620 8606 8840 11254 13240 17212 21515 22508 28135 34424 43030 45016 56270 73151 86060 112540 146302 172120 225080 292604 365755 585208 731510 1463020 2926040