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21310080 = 2735111009
BaseRepresentation
bin101000101001…
…0101010000000
31111002122221020
41101102222000
520423410310
62040425440
7346063341
oct121225200
944078836
1021310080
1111035640
127178280
13455181c
142b8a0c8
151d0e170
hex1452a80

21310080 has 128 divisors (see below), whose sum is σ = 74174400. Its totient is φ = 5160960.

The previous prime is 21310073. The next prime is 21310097. The reversal of 21310080 is 8001312.

It is a happy number.

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 (15).

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, 20616 + ... + 21624.

Almost surely, 221310080 is an apocalyptic number.

21310080 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 21310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37087200).

21310080 is an abundant number, since it is smaller than the sum of its proper divisors (52864320).

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

21310080 is a wasteful number, since it uses less digits than its factorization.

21310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 21310080 is about 4616.2842200194. The cubic root of 21310080 is about 277.2437046003.

Adding to 21310080 its reverse (8001312), we get a palindrome (29311392).

The spelling of 21310080 in words is "twenty-one million, three hundred ten 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 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1009 1056 1320 1408 1760 1920 2018 2112 2640 3027 3520 4036 4224 5045 5280 6054 7040 8072 10090 10560 11099 12108 15135 16144 20180 21120 22198 24216 30270 32288 33297 40360 44396 48432 55495 60540 64576 66594 80720 88792 96864 110990 121080 129152 133188 161440 166485 177584 193728 221980 242160 266376 322880 332970 355168 387456 443960 484320 532752 645760 665940 710336 887920 968640 1065504 1331880 1420672 1775840 1937280 2131008 2663760 3551680 4262016 5327520 7103360 10655040 21310080