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2628990 = 2335713107
BaseRepresentation
bin1010000001110101111110
311221120022000
422001311332
51133111430
6132203130
731226460
oct12016576
94846260
102628990
111536221
12a694a6
13710820
144c6130
1536de60
hex281d7e

2628990 has 128 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 549504.

The previous prime is 2628979. The next prime is 2629001. The reversal of 2628990 is 998262.

It is an interprime number because it is at equal distance from previous prime (2628979) and next prime (2629001).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24517 + ... + 24623.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

22628990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2628990 is an abundant number, since it is smaller than the sum of its proper divisors (6080130).

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

2628990 is a wasteful number, since it uses less digits than its factorization.

2628990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2628990 is about 1621.4160477805. The cubic root of 2628990 is about 138.0160661824.

The spelling of 2628990 in words is "two million, six hundred twenty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 107 117 126 130 135 182 189 195 210 214 234 270 273 315 321 351 378 390 455 535 546 585 630 642 702 749 819 910 945 963 1070 1170 1365 1391 1498 1605 1638 1755 1890 1926 2247 2457 2730 2782 2889 3210 3510 3745 4095 4173 4494 4815 4914 5778 6741 6955 7490 8190 8346 9630 9737 11235 12285 12519 13482 13910 14445 19474 20223 20865 22470 24570 25038 28890 29211 33705 37557 40446 41730 48685 58422 62595 67410 75114 87633 97370 101115 125190 146055 175266 187785 202230 262899 292110 375570 438165 525798 876330 1314495 2628990