Search a number
-
+
20861460 = 22325235039
BaseRepresentation
bin100111110010…
…1001000010100
31110020212112200
41033211020110
520320031320
62023044500
7342214404
oct117451024
943225480
1020861460
1110859584
126ba0730
134425579
142ab0804
151c71290
hex13e5214

20861460 has 72 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 5320128.

The previous prime is 20861459. The next prime is 20861509. The reversal of 20861460 is 6416802.

20861460 = 2412 + 2422 + ... + 4242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1621 + ... + 6659.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 220861460 is an apocalyptic number.

20861460 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 20861460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

20861460 is an abundant number, since it is smaller than the sum of its proper divisors (45182700).

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

20861460 is a wasteful number, since it uses less digits than its factorization.

20861460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20861460 is about 4567.4347285977. The cubic root of 20861460 is about 275.2843779991.

It can be divided in two parts, 20861 and 460, that added together give a triangular number (21321 = T206).

The spelling of 20861460 in words is "twenty million, eight hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 5039 10078 15117 20156 25195 30234 45351 50390 60468 75585 90702 100780 115897 151170 181404 226755 231794 302340 347691 453510 463588 579485 695382 907020 1043073 1158970 1390764 1738455 2086146 2317940 3476910 4172292 5215365 6953820 10430730 20861460