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2082240 = 26335241
BaseRepresentation
bin111111100010111000000
310220210022000
413330113000
51013112430
6112344000
723461446
oct7742700
93823260
102082240
1111a2466
12845000
1357b9c4
143c2b96
152b1e60
hex1fc5c0

2082240 has 112 divisors (see below), whose sum is σ = 7376160. Its totient is φ = 552960.

The previous prime is 2082193. The next prime is 2082247. The reversal of 2082240 is 422802.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082247) by changing a digit.

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, 8520 + ... + 8760.

22082240 is an apocalyptic number.

2082240 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 2082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688080).

2082240 is an abundant number, since it is smaller than the sum of its proper divisors (5293920).

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

2082240 is a wasteful number, since it uses less digits than its factorization.

2082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2082240 is about 1442.9968814935. The cubic root of 2082240 is about 127.6958926455.

The spelling of 2082240 in words is "two million, eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 241 270 288 320 360 432 480 482 540 576 720 723 864 960 964 1080 1205 1440 1446 1728 1928 2160 2169 2410 2880 2892 3615 3856 4320 4338 4820 5784 6507 7230 7712 8640 8676 9640 10845 11568 13014 14460 15424 17352 19280 21690 23136 26028 28920 32535 34704 38560 43380 46272 52056 57840 65070 69408 77120 86760 104112 115680 130140 138816 173520 208224 231360 260280 347040 416448 520560 694080 1041120 2082240