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21183920 = 2452329397
BaseRepresentation
bin101000011001…
…1110110110000
31110212020212122
41100303312300
520410341140
62034013412
7345026462
oct120636660
943766778
1021183920
1110a5987a
127117268
134509284
142b56132
151cd6ab5
hex1433db0

21183920 has 80 divisors (see below), whose sum is σ = 53300160. Its totient is φ = 7805952.

The previous prime is 21183919. The next prime is 21183923. The reversal of 21183920 is 2938112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 21183920.

It is not an unprimeable number, because it can be changed into a prime (21183923) 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, 53162 + ... + 53558.

It is an arithmetic number, because the mean of its divisors is an integer number (666252).

Almost surely, 221183920 is an apocalyptic number.

21183920 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 21183920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26650080).

21183920 is an abundant number, since it is smaller than the sum of its proper divisors (32116240).

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

21183920 is a wasteful number, since it uses less digits than its factorization.

21183920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 21183920 is about 4602.5992656324. The cubic root of 21183920 is about 276.6955083560.

The spelling of 21183920 in words is "twenty-one million, one hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 29 40 46 58 80 92 115 116 145 184 230 232 290 368 397 460 464 580 667 794 920 1160 1334 1588 1840 1985 2320 2668 3176 3335 3970 5336 6352 6670 7940 9131 10672 11513 13340 15880 18262 23026 26680 31760 36524 45655 46052 53360 57565 73048 91310 92104 115130 146096 182620 184208 230260 264799 365240 460520 529598 730480 921040 1059196 1323995 2118392 2647990 4236784 5295980 10591960 21183920