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20821380 = 22353783113
BaseRepresentation
bin100111101101…
…1010110000100
31110011211120020
41033123112010
520312241010
62022135140
7341656506
oct117332604
943154506
1020821380
1110831458
126b814b0
134410258
142a9dd76
151c64470
hex13db584

20821380 has 96 divisors (see below), whose sum is σ = 61133184. Its totient is φ = 5289984.

The previous prime is 20821373. The next prime is 20821387. The reversal of 20821380 is 8312802.

It is an interprime number because it is at equal distance from previous prime (20821373) and next prime (20821387).

It is a self number, because there is not a number n which added to its sum of digits gives 20821380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20821387) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 184204 + ... + 184316.

It is an arithmetic number, because the mean of its divisors is an integer number (636804).

Almost surely, 220821380 is an apocalyptic number.

20821380 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 20821380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30566592).

20821380 is an abundant number, since it is smaller than the sum of its proper divisors (40311804).

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

20821380 is a wasteful number, since it uses less digits than its factorization.

20821380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 20821380 is about 4563.0450359382. The cubic root of 20821380 is about 275.1079686238.

The spelling of 20821380 in words is "twenty million, eight hundred twenty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 83 111 113 148 166 185 222 226 249 332 339 370 415 444 452 498 555 565 678 740 830 996 1110 1130 1245 1356 1660 1695 2220 2260 2490 3071 3390 4181 4980 6142 6780 8362 9213 9379 12284 12543 15355 16724 18426 18758 20905 25086 28137 30710 36852 37516 41810 46065 46895 50172 56274 61420 62715 83620 92130 93790 112548 125430 140685 184260 187580 250860 281370 347023 562740 694046 1041069 1388092 1735115 2082138 3470230 4164276 5205345 6940460 10410690 20821380