Search a number
-
+
20215720 = 23571731137
BaseRepresentation
bin100110100011…
…1011110101000
31102001001202101
41031013132220
520133400340
62001143144
7333554650
oct115073650
942031671
1020215720
1110458408
12692aab4
13425a685
142983360
151b94c9a
hex13477a8

20215720 has 128 divisors (see below), whose sum is σ = 57231360. Its totient is φ = 6266880.

The previous prime is 20215711. The next prime is 20215721. The reversal of 20215720 is 2751202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20215721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147492 + ... + 147628.

It is an arithmetic number, because the mean of its divisors is an integer number (447120).

Almost surely, 220215720 is an apocalyptic number.

20215720 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 20215720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28615680).

20215720 is an abundant number, since it is smaller than the sum of its proper divisors (37015640).

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

20215720 is a wasteful number, since it uses less digits than its factorization.

20215720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 20215720 is about 4496.1894977859. The cubic root of 20215720 is about 272.4141973779.

Adding to 20215720 its reverse (2751202), we get a palindrome (22966922).

The spelling of 20215720 in words is "twenty million, two hundred fifteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 31 34 35 40 56 62 68 70 85 119 124 136 137 140 155 170 217 238 248 274 280 310 340 434 476 527 548 595 620 680 685 868 952 959 1054 1085 1096 1190 1240 1370 1736 1918 2108 2170 2329 2380 2635 2740 3689 3836 4216 4247 4340 4658 4760 4795 5270 5480 7378 7672 8494 8680 9316 9590 10540 11645 14756 16303 16988 18445 18632 19180 21080 21235 23290 29512 29729 32606 33976 36890 38360 42470 46580 59458 65212 72199 73780 81515 84940 93160 118916 130424 144398 147560 148645 163030 169880 237832 288796 297290 326060 360995 505393 577592 594580 652120 721990 1010786 1189160 1443980 2021572 2526965 2887960 4043144 5053930 10107860 20215720