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2096820 = 2233511353
BaseRepresentation
bin111111111111010110100
310221112022000
413333322310
51014044240
6112535300
723552115
oct7777264
93845260
102096820
111202410
12851530
1358552b
143c820c
152b6430
hex1ffeb4

2096820 has 96 divisors (see below), whose sum is σ = 7136640. Its totient is φ = 506880.

The previous prime is 2096807. The next prime is 2096837. The reversal of 2096820 is 286902.

It is a super-2 number, since 2×20968202 = 8793308224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

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, 5764 + ... + 6116.

It is an arithmetic number, because the mean of its divisors is an integer number (74340).

22096820 is an apocalyptic number.

2096820 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 2096820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568320).

2096820 is an abundant number, since it is smaller than the sum of its proper divisors (5039820).

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

2096820 is a wasteful number, since it uses less digits than its factorization.

2096820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2096820 is about 1448.0400546946. The cubic root of 2096820 is about 127.9932450862.

It can be divided in two parts, 2096 and 820, that added together give a square (2916 = 542).

The spelling of 2096820 in words is "two million, ninety-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 353 396 495 540 594 660 706 990 1059 1188 1412 1485 1765 1980 2118 2970 3177 3530 3883 4236 5295 5940 6354 7060 7766 9531 10590 11649 12708 15532 15885 19062 19415 21180 23298 31770 34947 38124 38830 46596 47655 58245 63540 69894 77660 95310 104841 116490 139788 174735 190620 209682 232980 349470 419364 524205 698940 1048410 2096820