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20461140 = 2233575413
BaseRepresentation
bin100111000001…
…1011001010100
31102111112102000
41032003121110
520214224030
62010315300
7335626320
oct116033124
942445360
1020461140
1110605837
126a28b30
1343152ab
142a08980
151be2860
hex1383654

20461140 has 96 divisors (see below), whose sum is σ = 72764160. Its totient is φ = 4675968.

The previous prime is 20461139. The next prime is 20461151. The reversal of 20461140 is 4116402.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1074 + ... + 6486.

It is an arithmetic number, because the mean of its divisors is an integer number (757960).

Almost surely, 220461140 is an apocalyptic number.

20461140 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 20461140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36382080).

20461140 is an abundant number, since it is smaller than the sum of its proper divisors (52303020).

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

20461140 is a wasteful number, since it uses less digits than its factorization.

20461140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20461140 is about 4523.3991643453. The cubic root of 20461140 is about 273.5121409185.

Adding to 20461140 its reverse (4116402), we get a palindrome (24577542).

The spelling of 20461140 in words is "twenty million, four hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 5413 10826 16239 21652 27065 32478 37891 48717 54130 64956 75782 81195 97434 108260 113673 146151 151564 162390 189455 194868 227346 243585 292302 324780 341019 378910 454692 487170 568365 584604 682038 730755 757820 974340 1023057 1136730 1364076 1461510 1705095 2046114 2273460 2923020 3410190 4092228 5115285 6820380 10230570 20461140