Search a number
-
+
20882120 = 23571741107
BaseRepresentation
bin100111110101…
…0001011001000
31110021220212212
41033222023020
520321211440
62023324252
7342331550
oct117521310
943256785
1020882120
1110873056
126bb0688
134431aac
142ab8160
151c77465
hex13ea2c8

20882120 has 128 divisors (see below), whose sum is σ = 58786560. Its totient is φ = 6512640.

The previous prime is 20882119. The next prime is 20882131. The reversal of 20882120 is 2128802.

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, 195107 + ... + 195213.

It is an arithmetic number, because the mean of its divisors is an integer number (459270).

Almost surely, 220882120 is an apocalyptic number.

20882120 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 20882120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29393280).

20882120 is an abundant number, since it is smaller than the sum of its proper divisors (37904440).

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

20882120 is a wasteful number, since it uses less digits than its factorization.

20882120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 20882120 is about 4569.6958323284. The cubic root of 20882120 is about 275.3752233314.

It can be divided in two parts, 208 and 82120, that added together give a palindrome (82328).

The spelling of 20882120 in words is "twenty million, eight hundred eighty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 41 56 68 70 82 85 107 119 136 140 164 170 205 214 238 280 287 328 340 410 428 476 535 574 595 680 697 749 820 856 952 1070 1148 1190 1394 1435 1498 1640 1819 2140 2296 2380 2788 2870 2996 3485 3638 3745 4280 4387 4760 4879 5576 5740 5992 6970 7276 7490 8774 9095 9758 11480 12733 13940 14552 14980 17548 18190 19516 21935 24395 25466 27880 29960 30709 35096 36380 39032 43870 48790 50932 61418 63665 72760 74579 87740 97580 101864 122836 127330 149158 153545 175480 195160 245672 254660 298316 307090 372895 509320 522053 596632 614180 745790 1044106 1228360 1491580 2088212 2610265 2983160 4176424 5220530 10441060 20882120