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2082990 = 2357213109
BaseRepresentation
bin111111100100010101110
310220211022210
413330202232
51013123430
6112351250
723463600
oct7744256
93824283
102082990
1111a2a88
12845526
1357c150
143c3170
152b22b0
hex1fc8ae

2082990 has 96 divisors (see below), whose sum is σ = 6320160. Its totient is φ = 435456.

The previous prime is 2082979. The next prime is 2083001. The reversal of 2082990 is 992802.

2082990 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (2082979) and next prime (2083001).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 19056 + ... + 19164.

It is an arithmetic number, because the mean of its divisors is an integer number (65835).

22082990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160080).

2082990 is an abundant number, since it is smaller than the sum of its proper divisors (4237170).

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

2082990 is a wasteful number, since it uses less digits than its factorization.

2082990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2082990 is about 1443.2567339181. The cubic root of 2082990 is about 127.7112223582.

The spelling of 2082990 in words is "two million, eighty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 109 130 147 182 195 210 218 245 273 294 327 390 455 490 545 546 637 654 735 763 910 1090 1274 1365 1417 1470 1526 1635 1911 2289 2730 2834 3185 3270 3815 3822 4251 4578 5341 6370 7085 7630 8502 9555 9919 10682 11445 14170 16023 19110 19838 21255 22890 26705 29757 32046 42510 49595 53410 59514 69433 80115 99190 138866 148785 160230 208299 297570 347165 416598 694330 1041495 2082990