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20821340 = 22519157349
BaseRepresentation
bin100111101101…
…1010101011100
31110011211111202
41033123111130
520312240330
62022135032
7341656421
oct117332534
943154452
1020821340
1110831421
126b81478
134410227
142a9dd48
151c64445
hex13db55c

20821340 has 48 divisors (see below), whose sum is σ = 46452000. Its totient is φ = 7817472.

The previous prime is 20821327. The next prime is 20821349. The reversal of 20821340 is 4312802.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20821349) 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, 59486 + ... + 59834.

It is an arithmetic number, because the mean of its divisors is an integer number (967750).

Almost surely, 220821340 is an apocalyptic number.

20821340 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 20821340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23226000).

20821340 is an abundant number, since it is smaller than the sum of its proper divisors (25630660).

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

20821340 is a wasteful number, since it uses less digits than its factorization.

20821340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 20821340 is about 4563.0406528980. The cubic root of 20821340 is about 275.1077924535.

The spelling of 20821340 in words is "twenty million, eight hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 157 190 314 349 380 628 698 785 1396 1570 1745 2983 3140 3490 5966 6631 6980 11932 13262 14915 26524 29830 33155 54793 59660 66310 109586 132620 219172 273965 547930 1041067 1095860 2082134 4164268 5205335 10410670 20821340