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21060540 = 2233543907
BaseRepresentation
bin101000001010…
…1101110111100
31110121222122000
41100111232330
520342414130
62031222300
7344003664
oct120255674
943558560
1021060540
1110985106
127077990
134495077
142b231a4
151cb0260
hex1415bbc

21060540 has 96 divisors (see below), whose sum is σ = 67119360. Its totient is φ = 5479488.

The previous prime is 21060539. The next prime is 21060541. The reversal of 21060540 is 4506012.

It is a happy number.

21060540 is a `hidden beast` number, since 21 + 0 + 605 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (21060539) and next prime (21060541).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21060541) 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, 22767 + ... + 23673.

It is an arithmetic number, because the mean of its divisors is an integer number (699160).

Almost surely, 221060540 is an apocalyptic number.

21060540 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 21060540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33559680).

21060540 is an abundant number, since it is smaller than the sum of its proper divisors (46058820).

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

21060540 is a wasteful number, since it uses less digits than its factorization.

21060540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21060540 is about 4589.1763966969. The cubic root of 21060540 is about 276.1572827538.

Adding to 21060540 its reverse (4506012), we get a palindrome (25566552).

The spelling of 21060540 in words is "twenty-one million, sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 907 1161 1290 1548 1814 1935 2322 2580 2721 3628 3870 4535 4644 5442 5805 7740 8163 9070 10884 11610 13605 16326 18140 23220 24489 27210 32652 39001 40815 48978 54420 78002 81630 97956 117003 122445 156004 163260 195005 234006 244890 351009 390010 468012 489780 585015 702018 780020 1053027 1170030 1404036 1755045 2106054 2340060 3510090 4212108 5265135 7020180 10530270 21060540