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2083320 = 23345643
BaseRepresentation
bin111111100100111111000
310220211210000
413330213320
51013131240
6112353000
723464551
oct7744770
93824700
102083320
1111a3258
12845760
1357c345
143c3328
152b2430
hex1fc9f8

2083320 has 80 divisors (see below), whose sum is σ = 7013160. Its totient is φ = 554688.

The previous prime is 2083297. The next prime is 2083321. The reversal of 2083320 is 233802.

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

It is a junction number, because it is equal to n+sod(n) for n = 2083293 and 2083302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2919 + ... + 3561.

22083320 is an apocalyptic number.

2083320 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 2083320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506580).

2083320 is an abundant number, since it is smaller than the sum of its proper divisors (4929840).

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

2083320 is a wasteful number, since it uses less digits than its factorization.

2083320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2083320 is about 1443.3710541645. The cubic root of 2083320 is about 127.7179662661.

The spelling of 2083320 in words is "two million, eighty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 643 648 810 1080 1286 1620 1929 2572 3215 3240 3858 5144 5787 6430 7716 9645 11574 12860 15432 17361 19290 23148 25720 28935 34722 38580 46296 52083 57870 69444 77160 86805 104166 115740 138888 173610 208332 231480 260415 347220 416664 520830 694440 1041660 2083320