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21046080 = 2635111993
BaseRepresentation
bin101000001001…
…0001101000000
31110121020210110
41100102031000
520341433310
62031031320
7343613556
oct120221500
943536713
1021046080
1110975260
12706b540
13448b603
142b1bbd6
151caad20
hex1412340

21046080 has 112 divisors (see below), whose sum is σ = 72932544. Its totient is φ = 5099520.

The previous prime is 21046073. The next prime is 21046111. The reversal of 21046080 is 8064012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9564 + ... + 11556.

Almost surely, 221046080 is an apocalyptic number.

21046080 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 21046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36466272).

21046080 is an abundant number, since it is smaller than the sum of its proper divisors (51886464).

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

21046080 is a wasteful number, since it uses less digits than its factorization.

21046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 21046080 is about 4587.6006800941. The cubic root of 21046080 is about 276.0940658156.

The spelling of 21046080 in words is "twenty-one million, forty-six thousand, eighty".

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 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 1993 2112 2640 3520 3986 5280 5979 7972 9965 10560 11958 15944 19930 21923 23916 29895 31888 39860 43846 47832 59790 63776 65769 79720 87692 95664 109615 119580 127552 131538 159440 175384 191328 219230 239160 263076 318880 328845 350768 382656 438460 478320 526152 637760 657690 701536 876920 956640 1052304 1315380 1403072 1753840 1913280 2104608 2630760 3507680 4209216 5261520 7015360 10523040 21046080