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21073680 = 2432529269
BaseRepresentation
bin101000001100…
…0111100010000
31110122122122200
41100120330100
520343324210
62031403200
7344060205
oct120307420
943578580
1021073680
1110993a71
127083500
13449b044
142b27cac
151cb40c0
hex1418f10

21073680 has 60 divisors (see below), whose sum is σ = 70774860. Its totient is φ = 5619456.

The previous prime is 21073673. The next prime is 21073699. The reversal of 21073680 is 8637012.

It can be written as a sum of positive squares in 2 ways, for example, as 10419984 + 10653696 = 3228^2 + 3264^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13915 + ... + 15354.

It is an arithmetic number, because the mean of its divisors is an integer number (1179581).

Almost surely, 221073680 is an apocalyptic number.

21073680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21073680 is an abundant number, since it is smaller than the sum of its proper divisors (49701180).

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

21073680 is a wasteful number, since it uses less digits than its factorization.

21073680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29288 (or 29279 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 21073680 is about 4590.6078028949. The cubic root of 21073680 is about 276.2147037615.

The spelling of 21073680 in words is "twenty-one million, seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 29269 58538 87807 117076 146345 175614 234152 263421 292690 351228 439035 468304 526842 585380 702456 878070 1053684 1170760 1317105 1404912 1756140 2107368 2341520 2634210 3512280 4214736 5268420 7024560 10536840 21073680