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2082696 = 233731123
BaseRepresentation
bin111111100011110001000
310220210220220
413330132020
51013121241
6112350040
723463000
oct7743610
93823826
102082696
1111a2840
12845320
1357bc85
143c3000
152b2166
hex1fc788

2082696 has 128 divisors (see below), whose sum is σ = 6912000. Its totient is φ = 517440.

The previous prime is 2082683. The next prime is 2082709. The reversal of 2082696 is 6962802.

It is an interprime number because it is at equal distance from previous prime (2082683) and next prime (2082709).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90541 + ... + 90563.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

22082696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456000).

2082696 is an abundant number, since it is smaller than the sum of its proper divisors (4829304).

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

2082696 is a wasteful number, since it uses less digits than its factorization.

2082696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2082696 is about 1443.1548773434. The cubic root of 2082696 is about 127.7052135494.

The spelling of 2082696 in words is "two million, eighty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 23 24 28 33 42 44 46 49 56 66 69 77 84 88 92 98 132 138 147 154 161 168 184 196 231 253 264 276 294 308 322 343 392 462 483 506 539 552 588 616 644 686 759 924 966 1012 1029 1078 1127 1176 1288 1372 1518 1617 1771 1848 1932 2024 2058 2156 2254 2744 3036 3234 3381 3542 3773 3864 4116 4312 4508 5313 6072 6468 6762 7084 7546 7889 8232 9016 10626 11319 12397 12936 13524 14168 15092 15778 21252 22638 23667 24794 27048 30184 31556 37191 42504 45276 47334 49588 63112 74382 86779 90552 94668 99176 148764 173558 189336 260337 297528 347116 520674 694232 1041348 2082696