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21378840 = 2335731821
BaseRepresentation
bin101000110001…
…1011100011000
31111020011020220
41101203130120
520433110330
62042120040
7346500660
oct121433430
944204226
1021378840
111108226a
1271b0020
134576c02
142ba71a0
151d24710
hex1463718

21378840 has 128 divisors (see below), whose sum is σ = 75755520. Its totient is φ = 4723200.

The previous prime is 21378817. The next prime is 21378883. The reversal of 21378840 is 4887312.

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, 25630 + ... + 26450.

It is an arithmetic number, because the mean of its divisors is an integer number (591840).

Almost surely, 221378840 is an apocalyptic number.

21378840 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 21378840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37877760).

21378840 is an abundant number, since it is smaller than the sum of its proper divisors (54376680).

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

21378840 is a wasteful number, since it uses less digits than its factorization.

21378840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 21378840 is about 4623.7257704150. The cubic root of 21378840 is about 277.5415731887.

The spelling of 21378840 in words is "twenty-one million, three hundred seventy-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 821 840 868 930 1085 1240 1302 1642 1736 1860 2170 2463 2604 3255 3284 3720 4105 4340 4926 5208 5747 6510 6568 8210 8680 9852 11494 12315 13020 16420 17241 19704 22988 24630 25451 26040 28735 32840 34482 45976 49260 50902 57470 68964 76353 86205 98520 101804 114940 127255 137928 152706 172410 178157 203608 229880 254510 305412 344820 356314 381765 509020 534471 610824 689640 712628 763530 890785 1018040 1068942 1425256 1527060 1781570 2137884 2672355 3054120 3563140 4275768 5344710 7126280 10689420 21378840