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21334080 = 263571313
BaseRepresentation
bin101000101100…
…0100001000000
31111010212212010
41101120201000
520430142310
62041132520
7346223325
oct121304100
944125763
1021334080
1111051679
12718a140
13455c721
142b94b4c
151d16320
hex1458840

21334080 has 112 divisors (see below), whose sum is σ = 68909184. Its totient is φ = 5591040.

The previous prime is 21334067. The next prime is 21334123. The reversal of 21334080 is 8043312.

It is a happy 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, 68004 + ... + 68316.

Almost surely, 221334080 is an apocalyptic number.

21334080 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 21334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34454592).

21334080 is an abundant number, since it is smaller than the sum of its proper divisors (47575104).

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

21334080 is a wasteful number, since it uses less digits than its factorization.

21334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 21334080 is about 4618.8829818475. The cubic root of 21334080 is about 277.3477453885.

Adding to 21334080 its reverse (8043312), we get a palindrome (29377392).

The spelling of 21334080 in words is "twenty-one million, three hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 313 320 355 426 480 568 626 710 852 939 960 1065 1136 1252 1420 1565 1704 1878 2130 2272 2504 2840 3130 3408 3756 4260 4544 4695 5008 5680 6260 6816 7512 8520 9390 10016 11360 12520 13632 15024 17040 18780 20032 22223 22720 25040 30048 34080 37560 44446 50080 60096 66669 68160 75120 88892 100160 111115 133338 150240 177784 222230 266676 300480 333345 355568 444460 533352 666690 711136 888920 1066704 1333380 1422272 1777840 2133408 2666760 3555680 4266816 5333520 7111360 10667040 21334080