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21385020 = 22351073331
BaseRepresentation
bin101000110010…
…0111100111100
31111020110201210
41101210330330
520433310040
62042204420
7346524666
oct121447474
944213653
1021385020
1111086978
1271b3710
134579977
142ba9536
151d26480
hex1464f3c

21385020 has 48 divisors (see below), whose sum is σ = 60455808. Its totient is φ = 5647680.

The previous prime is 21384991. The next prime is 21385057. The reversal of 21385020 is 2058312.

It is a super-3 number, since 3×213850203 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4755 + ... + 8085.

It is an arithmetic number, because the mean of its divisors is an integer number (1259496).

Almost surely, 221385020 is an apocalyptic number.

21385020 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 21385020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30227904).

21385020 is an abundant number, since it is smaller than the sum of its proper divisors (39070788).

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

21385020 is a wasteful number, since it uses less digits than its factorization.

21385020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 21385020 is about 4624.3940143547. The cubic root of 21385020 is about 277.5683136741.

The spelling of 21385020 in words is "twenty-one million, three hundred eighty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 3331 6420 6662 9993 13324 16655 19986 33310 39972 49965 66620 99930 199860 356417 712834 1069251 1425668 1782085 2138502 3564170 4277004 5346255 7128340 10692510 21385020