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2082840 = 2335171021
BaseRepresentation
bin111111100100000011000
310220211010020
413330200120
51013122330
6112350440
723463264
oct7744030
93824106
102082840
1111a2961
12845420
1357c066
143c30a4
152b2210
hex1fc818

2082840 has 64 divisors (see below), whose sum is σ = 6622560. Its totient is φ = 522240.

The previous prime is 2082833. The next prime is 2082851. The reversal of 2082840 is 482802.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2082840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1530 + ... + 2550.

22082840 is an apocalyptic number.

2082840 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 2082840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311280).

2082840 is an abundant number, since it is smaller than the sum of its proper divisors (4539720).

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

2082840 is a wasteful number, since it uses less digits than its factorization.

2082840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2082840 is about 1443.2047671762. The cubic root of 2082840 is about 127.7081567101.

The spelling of 2082840 in words is "two million, eighty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1021 2040 2042 3063 4084 5105 6126 8168 10210 12252 15315 17357 20420 24504 30630 34714 40840 52071 61260 69428 86785 104142 122520 138856 173570 208284 260355 347140 416568 520710 694280 1041420 2082840