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2083620 = 2235711241
BaseRepresentation
bin111111100101100100100
310220212012010
413330230210
51013133440
6112354220
723465460
oct7745444
93825163
102083620
1111a3500
12845970
1357c516
143c34a0
152b2580
hex1fcb24

2083620 has 144 divisors (see below), whose sum is σ = 7507584. Its totient is φ = 422400.

The previous prime is 2083591. The next prime is 2083643. The reversal of 2083620 is 263802.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50800 + ... + 50840.

It is an arithmetic number, because the mean of its divisors is an integer number (52136).

22083620 is an apocalyptic number.

2083620 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 2083620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753792).

2083620 is an abundant number, since it is smaller than the sum of its proper divisors (5423964).

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

2083620 is a wasteful number, since it uses less digits than its factorization.

2083620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2083620 is about 1443.4749738045. The cubic root of 2083620 is about 127.7240964735.

It can be divided in two parts, 208 and 3620, that added together give a triangular number (3828 = T87).

The spelling of 2083620 in words is "two million, eighty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 41 42 44 55 60 66 70 77 82 84 105 110 121 123 132 140 154 164 165 205 210 220 231 242 246 287 308 330 363 385 410 420 451 462 484 492 574 605 615 660 726 770 820 847 861 902 924 1148 1155 1210 1230 1353 1435 1452 1540 1694 1722 1804 1815 2255 2310 2420 2460 2541 2706 2870 3157 3388 3444 3630 4235 4305 4510 4620 4961 5082 5412 5740 6314 6765 7260 8470 8610 9020 9471 9922 10164 12628 12705 13530 14883 15785 16940 17220 18942 19844 24805 25410 27060 29766 31570 34727 37884 47355 49610 50820 59532 63140 69454 74415 94710 99220 104181 138908 148830 173635 189420 208362 297660 347270 416724 520905 694540 1041810 2083620