Search a number
-
+
2826630 = 233519229
BaseRepresentation
bin1010110010000110000110
312022121102000
422302012012
51210423010
6140330130
733011622
oct12620606
95277360
102826630
111660764
12b43946
1377c781
14538182
153ac7c0
hex2b2186

2826630 has 96 divisors (see below), whose sum is σ = 8229600. Its totient is φ = 689472.

The previous prime is 2826623. The next prime is 2826643. The reversal of 2826630 is 366282.

2826630 is a `hidden beast` number, since 2 + 8 + 26 + 630 = 666.

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

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2826594 and 2826603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97456 + ... + 97484.

It is an arithmetic number, because the mean of its divisors is an integer number (85725).

22826630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2826630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114800).

2826630 is an abundant number, since it is smaller than the sum of its proper divisors (5402970).

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

2826630 is a wasteful number, since it uses less digits than its factorization.

2826630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2826630 is about 1681.2584572278. The cubic root of 2826630 is about 141.3913978123.

The spelling of 2826630 in words is "two million, eight hundred twenty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 29 30 38 45 54 57 58 87 90 95 114 135 145 171 174 190 261 270 285 290 342 361 435 513 522 551 570 722 783 855 870 1026 1083 1102 1305 1566 1653 1710 1805 2166 2565 2610 2755 3249 3306 3610 3915 4959 5130 5415 5510 6498 7830 8265 9747 9918 10469 10830 14877 16245 16530 19494 20938 24795 29754 31407 32490 48735 49590 52345 62814 74385 94221 97470 104690 148770 157035 188442 282663 314070 471105 565326 942210 1413315 2826630