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21394560 = 2735111013
BaseRepresentation
bin101000110011…
…1010010000000
31111020221211010
41101213102000
520434111220
62042320520
7346564545
oct121472200
944227733
1021394560
1111093060
1271b9140
134581105
142bacbcc
151d291e0
hex1467480

21394560 has 128 divisors (see below), whose sum is σ = 74468160. Its totient is φ = 5181440.

The previous prime is 21394519. The next prime is 21394561. The reversal of 21394560 is 6549312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21394561) 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, 20614 + ... + 21626.

Almost surely, 221394560 is an apocalyptic number.

21394560 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 21394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37234080).

21394560 is an abundant number, since it is smaller than the sum of its proper divisors (53073600).

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

21394560 is a wasteful number, since it uses less digits than its factorization.

21394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 21394560 is about 4625.4253858429. The cubic root of 21394560 is about 277.6095825631.

The spelling of 21394560 in words is "twenty-one million, three hundred ninety-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1013 1056 1320 1408 1760 1920 2026 2112 2640 3039 3520 4052 4224 5065 5280 6078 7040 8104 10130 10560 11143 12156 15195 16208 20260 21120 22286 24312 30390 32416 33429 40520 44572 48624 55715 60780 64832 66858 81040 89144 97248 111430 121560 129664 133716 162080 167145 178288 194496 222860 243120 267432 324160 334290 356576 388992 445720 486240 534864 648320 668580 713152 891440 972480 1069728 1337160 1426304 1782880 1944960 2139456 2674320 3565760 4278912 5348640 7131520 10697280 21394560