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2648940 = 2235721753
BaseRepresentation
bin1010000110101101101100
311222120122220
422012231230
51134231230
6132435340
731341600
oct12065554
94876586
102648940
11154a208
12a78b50
13719928
144cd500
15374d10
hex286b6c

2648940 has 144 divisors (see below), whose sum is σ = 9307872. Its totient is φ = 559104.

The previous prime is 2648917. The next prime is 2648953. The reversal of 2648940 is 498462.

2648940 is digitally balanced in base 2, 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 (33) 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49954 + ... + 50006.

It is an arithmetic number, because the mean of its divisors is an integer number (64638).

22648940 is an apocalyptic number.

2648940 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 2648940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653936).

2648940 is an abundant number, since it is smaller than the sum of its proper divisors (6658932).

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

2648940 is a wasteful number, since it uses less digits than its factorization.

2648940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2648940 is about 1627.5564506339. The cubic root of 2648940 is about 138.3642968704.

The spelling of 2648940 in words is "two million, six hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 53 60 68 70 84 85 98 102 105 106 119 140 147 159 170 196 204 210 212 238 245 255 265 294 318 340 357 371 420 476 490 510 530 588 595 636 714 735 742 795 833 901 980 1020 1060 1113 1190 1428 1470 1484 1590 1666 1785 1802 1855 2226 2380 2499 2597 2703 2940 3180 3332 3570 3604 3710 4165 4452 4505 4998 5194 5406 5565 6307 7140 7420 7791 8330 9010 9996 10388 10812 11130 12495 12614 12985 13515 15582 16660 18020 18921 22260 24990 25228 25970 27030 31164 31535 37842 38955 44149 49980 51940 54060 63070 75684 77910 88298 94605 126140 132447 155820 176596 189210 220745 264894 378420 441490 529788 662235 882980 1324470 2648940