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21142240 = 255743439
BaseRepresentation
bin101000010100…
…1101011100000
31110210010200221
41100221223200
520403022430
62033052424
7344464120
oct120515340
943703627
1021142240
1110a30529
1270b7114
1344c3302
142b44c80
151cc957a
hex1429ae0

21142240 has 96 divisors (see below), whose sum is σ = 58544640. Its totient is φ = 7064064.

The previous prime is 21142223. The next prime is 21142243. The reversal of 21142240 is 4224112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47941 + ... + 48379.

It is an arithmetic number, because the mean of its divisors is an integer number (609840).

Almost surely, 221142240 is an apocalyptic number.

21142240 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 21142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29272320).

21142240 is an abundant number, since it is smaller than the sum of its proper divisors (37402400).

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

21142240 is a wasteful number, since it uses less digits than its factorization.

21142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 21142240 is about 4598.0691599844. The cubic root of 21142240 is about 276.5139202978.

Adding to 21142240 its reverse (4224112), we get a palindrome (25366352).

The spelling of 21142240 in words is "twenty-one million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 70 80 86 112 140 160 172 215 224 280 301 344 430 439 560 602 688 860 878 1120 1204 1376 1505 1720 1756 2195 2408 3010 3073 3440 3512 4390 4816 6020 6146 6880 7024 8780 9632 12040 12292 14048 15365 17560 18877 24080 24584 30730 35120 37754 48160 49168 61460 70240 75508 94385 98336 122920 132139 151016 188770 245840 264278 302032 377540 491680 528556 604064 660695 755080 1057112 1321390 1510160 2114224 2642780 3020320 4228448 5285560 10571120 21142240