Search a number
-
+
20463240 = 23357171433
BaseRepresentation
bin100111000001…
…1111010001000
31102111122021210
41032003322020
520214310430
62010333120
7335635410
oct116037210
942448253
1020463240
1110607376
126a2a1a0
134316235
142a09640
151be32b0
hex1383e88

20463240 has 128 divisors (see below), whose sum is σ = 74338560. Its totient is φ = 4399104.

The previous prime is 20463239. The next prime is 20463251. The reversal of 20463240 is 4236402.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 13564 + ... + 14996.

It is an arithmetic number, because the mean of its divisors is an integer number (580770).

Almost surely, 220463240 is an apocalyptic number.

20463240 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 20463240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37169280).

20463240 is an abundant number, since it is smaller than the sum of its proper divisors (53875320).

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

20463240 is a wasteful number, since it uses less digits than its factorization.

20463240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 20463240 is about 4523.6312847092. The cubic root of 20463240 is about 273.5214977749.

Adding to 20463240 its reverse (4236402), we get a palindrome (24699642).

The spelling of 20463240 in words is "twenty million, four hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1433 1785 2040 2380 2856 2866 3570 4299 4760 5732 7140 7165 8598 10031 11464 14280 14330 17196 20062 21495 24361 28660 30093 34392 40124 42990 48722 50155 57320 60186 73083 80248 85980 97444 100310 120372 121805 146166 150465 170527 171960 194888 200620 240744 243610 292332 300930 341054 365415 401240 487220 511581 584664 601860 682108 730830 852635 974440 1023162 1203720 1364216 1461660 1705270 2046324 2557905 2923320 3410540 4092648 5115810 6821080 10231620 20463240