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2790984 = 233737449
BaseRepresentation
bin1010101001011001001000
312020210111210
422221121020
51203302414
6135453120
732502660
oct12513110
95223453
102790984
1116369a9
12b271a0
13769491
145291a0
153a1e59
hex2a9648

2790984 has 64 divisors (see below), whose sum is σ = 8208000. Its totient is φ = 774144.

The previous prime is 2790979. The next prime is 2791007. The reversal of 2790984 is 4890972.

2790984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5992 + ... + 6440.

It is an arithmetic number, because the mean of its divisors is an integer number (128250).

22790984 is an apocalyptic number.

2790984 is a gapful number since it is divisible by the number (24) 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 2790984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104000).

2790984 is an abundant number, since it is smaller than the sum of its proper divisors (5417016).

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

2790984 is a wasteful number, since it uses less digits than its factorization.

2790984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2790984 is about 1670.6238355776. The cubic root of 2790984 is about 140.7945299614.

The spelling of 2790984 in words is "two million, seven hundred ninety thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 449 518 777 888 898 1036 1347 1554 1796 2072 2694 3108 3143 3592 5388 6216 6286 9429 10776 12572 16613 18858 25144 33226 37716 49839 66452 75432 99678 116291 132904 199356 232582 348873 398712 465164 697746 930328 1395492 2790984