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27424720 = 2452911821
BaseRepresentation
bin110100010011…
…1011111010000
31220121022122101
41220213133100
524010042340
62415450144
7452051311
oct150473720
956538571
1027424720
1114531664
129226954
1358b2a5b
1438dc608
15261ac9a
hex1a277d0

27424720 has 40 divisors (see below), whose sum is σ = 65966760. Its totient is φ = 10590720.

The previous prime is 27424711. The next prime is 27424729. The reversal of 27424720 is 2742472.

It is an interprime number because it is at equal distance from previous prime (27424711) and next prime (27424729).

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 26956864 = 684^2 + 5192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27424729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3591 + ... + 8230.

It is an arithmetic number, because the mean of its divisors is an integer number (1649169).

Almost surely, 227424720 is an apocalyptic number.

27424720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27424720 is an abundant number, since it is smaller than the sum of its proper divisors (38542040).

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

27424720 is a wasteful number, since it uses less digits than its factorization.

27424720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11863 (or 11857 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 28.

The square root of 27424720 is about 5236.8616556102. The cubic root of 27424720 is about 301.5648602194.

The spelling of 27424720 in words is "twenty-seven million, four hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 11821 23642 47284 59105 94568 118210 189136 236420 342809 472840 685618 945680 1371236 1714045 2742472 3428090 5484944 6856180 13712360 27424720