Search a number
-
+
21076920 = 23325127461
BaseRepresentation
bin101000001100…
…1101110111000
31110122211002200
41100121232320
520343430140
62031430200
7344102514
oct120315670
943584080
1021076920
1110996447
127085360
13449c667
142b29144
151cb5030
hex1419bb8

21076920 has 96 divisors (see below), whose sum is σ = 69189120. Its totient is φ = 5564160.

The previous prime is 21076883. The next prime is 21076921. The reversal of 21076920 is 2967012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21076921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45490 + ... + 45950.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 221076920 is an apocalyptic number.

21076920 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 21076920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34594560).

21076920 is an abundant number, since it is smaller than the sum of its proper divisors (48112200).

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

21076920 is a wasteful number, since it uses less digits than its factorization.

21076920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 21076920 is about 4590.9606837785. The cubic root of 21076920 is about 276.2288586976.

The spelling of 21076920 in words is "twenty-one million, seventy-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 127 180 254 360 381 461 508 635 762 922 1016 1143 1270 1383 1524 1844 1905 2286 2305 2540 2766 3048 3688 3810 4149 4572 4610 5080 5532 5715 6915 7620 8298 9144 9220 11064 11430 13830 15240 16596 18440 20745 22860 27660 33192 41490 45720 55320 58547 82980 117094 165960 175641 234188 292735 351282 468376 526923 585470 702564 878205 1053846 1170940 1405128 1756410 2107692 2341880 2634615 3512820 4215384 5269230 7025640 10538460 21076920