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21338160 = 2435671327
BaseRepresentation
bin101000101100…
…1100000110000
31111011002110020
41101121200300
520430310120
62041203440
7346241244
oct121314060
944132406
1021338160
1111054748
127190580
13456153c
142b96424
151d17640
hex1459830

21338160 has 80 divisors (see below), whose sum is σ = 67186176. Its totient is φ = 5601024.

The previous prime is 21338153. The next prime is 21338183. The reversal of 21338160 is 6183312.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21338160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15417 + ... + 16743.

Almost surely, 221338160 is an apocalyptic number.

21338160 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 21338160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33593088).

21338160 is an abundant number, since it is smaller than the sum of its proper divisors (45848016).

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

21338160 is a wasteful number, since it uses less digits than its factorization.

21338160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 21338160 is about 4619.3246259599. The cubic root of 21338160 is about 277.3654245614.

The spelling of 21338160 in words is "twenty-one million, three hundred thirty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1327 1340 1608 2010 2654 2680 3216 3981 4020 5308 5360 6635 7962 8040 10616 13270 15924 16080 19905 21232 26540 31848 39810 53080 63696 79620 88909 106160 159240 177818 266727 318480 355636 444545 533454 711272 889090 1066908 1333635 1422544 1778180 2133816 2667270 3556360 4267632 5334540 7112720 10669080 21338160