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21410480 = 24571317173
BaseRepresentation
bin101000110101…
…1001010110000
31111021202122202
41101223022300
520440113410
62042522332
7346662140
oct121531260
944252582
1021410480
11110a4013
1272063a8
134588430
142bb4920
151d2dca5
hex146b2b0

21410480 has 160 divisors (see below), whose sum is σ = 65245824. Its totient is φ = 6340608.

The previous prime is 21410479. The next prime is 21410489. The reversal of 21410480 is 8401412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21410489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123674 + ... + 123846.

Almost surely, 221410480 is an apocalyptic number.

21410480 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 21410480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32622912).

21410480 is an abundant number, since it is smaller than the sum of its proper divisors (43835344).

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

21410480 is a wasteful number, since it uses less digits than its factorization.

21410480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 21410480 is about 4627.1459886198. The cubic root of 21410480 is about 277.6784232527.

Adding to 21410480 its reverse (8401412), we get a palindrome (29811892).

The spelling of 21410480 in words is "twenty-one million, four hundred ten thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 17 20 26 28 34 35 40 52 56 65 68 70 80 85 91 104 112 119 130 136 140 170 173 182 208 221 238 260 272 280 340 346 364 442 455 476 520 560 595 680 692 728 865 884 910 952 1040 1105 1190 1211 1360 1384 1456 1547 1730 1768 1820 1904 2210 2249 2380 2422 2768 2941 3094 3460 3536 3640 4420 4498 4760 4844 5882 6055 6188 6920 7280 7735 8840 8996 9520 9688 11245 11764 12110 12376 13840 14705 15470 15743 17680 17992 19376 20587 22490 23528 24220 24752 29410 30940 31486 35984 38233 41174 44980 47056 48440 58820 61880 62972 76466 78715 82348 89960 96880 102935 117640 123760 125944 152932 157430 164696 179920 191165 205870 235280 251888 267631 305864 314860 329392 382330 411740 535262 611728 629720 764660 823480 1070524 1259440 1338155 1529320 1646960 2141048 2676310 3058640 4282096 5352620 10705240 21410480