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21002240 = 21157293
BaseRepresentation
bin101000000011…
…1100000000000
31110112000122202
41100013200000
520334032430
62030052332
7343342010
oct120074000
943460582
1021002240
1110945326
12704a0a8
13447467c
142b09c40
151c9cd45
hex1407800

21002240 has 96 divisors (see below), whose sum is σ = 57788640. Its totient is φ = 7176192.

The previous prime is 21002231. The next prime is 21002251. The reversal of 21002240 is 4220012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71534 + ... + 71826.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 221002240 is an apocalyptic number.

21002240 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 21002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320).

21002240 is an abundant number, since it is smaller than the sum of its proper divisors (36786400).

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

21002240 is an equidigital number, since it uses as much as digits as its factorization.

21002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 21002240 is about 4582.8200924758. The cubic root of 21002240 is about 275.9022267975.

Adding to 21002240 its reverse (4220012), we get a palindrome (25222252).

The spelling of 21002240 in words is "twenty-one million, two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 293 320 448 512 560 586 640 896 1024 1120 1172 1280 1465 1792 2048 2051 2240 2344 2560 2930 3584 4102 4480 4688 5120 5860 7168 8204 8960 9376 10240 10255 11720 14336 16408 17920 18752 20510 23440 32816 35840 37504 41020 46880 65632 71680 75008 82040 93760 131264 150016 164080 187520 262528 300032 328160 375040 525056 600064 656320 750080 1050112 1312640 1500160 2100224 2625280 3000320 4200448 5250560 10501120 21002240