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2090340 = 223357279
BaseRepresentation
bin111111110010101100100
310221012102000
413332111210
51013342330
6112445300
723524200
oct7762544
93835360
102090340
1111a855a
12849830
135825b5
143c5b00
152b4560
hex1fe564

2090340 has 144 divisors (see below), whose sum is σ = 7660800. Its totient is φ = 471744.

The previous prime is 2090329. The next prime is 2090351. The reversal of 2090340 is 430902.

It is an interprime number because it is at equal distance from previous prime (2090329) and next prime (2090351).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26421 + ... + 26499.

It is an arithmetic number, because the mean of its divisors is an integer number (53200).

22090340 is an apocalyptic number.

2090340 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 2090340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830400).

2090340 is an abundant number, since it is smaller than the sum of its proper divisors (5570460).

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

2090340 is a wasteful number, since it uses less digits than its factorization.

2090340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2090340 is about 1445.8008161569. The cubic root of 2090340 is about 127.8612591766.

The spelling of 2090340 in words is "two million, ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 79 84 90 98 105 108 126 135 140 147 158 180 189 196 210 237 245 252 270 294 315 316 378 395 420 441 474 490 540 553 588 630 711 735 756 790 882 945 948 980 1106 1185 1260 1323 1422 1470 1580 1659 1764 1890 2133 2205 2212 2370 2646 2765 2844 2940 3318 3555 3780 3871 4266 4410 4740 4977 5292 5530 6615 6636 7110 7742 8295 8532 8820 9954 10665 11060 11613 13230 14220 14931 15484 16590 19355 19908 21330 23226 24885 26460 29862 33180 34839 38710 42660 46452 49770 58065 59724 69678 74655 77420 99540 104517 116130 139356 149310 174195 209034 232260 298620 348390 418068 522585 696780 1045170 2090340