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2090240 = 2852371
BaseRepresentation
bin111111110010100000000
310221012021022
413332110000
51013341430
6112445012
723523665
oct7762400
93835238
102090240
1111a8479
12849768
13582539
143c5a6c
152b44e5
hex1fe500

2090240 has 72 divisors (see below), whose sum is σ = 5298048. Its totient is φ = 788480.

The previous prime is 2090239. The next prime is 2090251. The reversal of 2090240 is 420902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29405 + ... + 29475.

It is an arithmetic number, because the mean of its divisors is an integer number (73584).

22090240 is an apocalyptic number.

2090240 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 2090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649024).

2090240 is an abundant number, since it is smaller than the sum of its proper divisors (3207808).

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

2090240 is an equidigital number, since it uses as much as digits as its factorization.

2090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2090240 is about 1445.7662328330. The cubic root of 2090240 is about 127.8592202212.

The spelling of 2090240 in words is "two million, ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 71 80 92 115 128 142 160 184 230 256 284 320 355 368 460 568 640 710 736 920 1136 1280 1420 1472 1633 1840 2272 2840 2944 3266 3680 4544 5680 5888 6532 7360 8165 9088 11360 13064 14720 16330 18176 22720 26128 29440 32660 45440 52256 65320 90880 104512 130640 209024 261280 418048 522560 1045120 2090240