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27488020 = 225734007
BaseRepresentation
bin110100011011…
…0111100010100
31220201112110211
41220312330110
524014104040
62421055204
7452434000
oct150667424
956645424
1027488020
111457517a
129257504
135905801
143917700
15262e8ea
hex1a36f14

27488020 has 48 divisors (see below), whose sum is σ = 67334400. Its totient is φ = 9422112.

The previous prime is 27488011. The next prime is 27488029. The reversal of 27488020 is 2088472.

It is an interprime number because it is at equal distance from previous prime (27488011) and next prime (27488029).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27488029) 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 15 ways as a sum of consecutive naturals, for example, 4857 + ... + 8863.

It is an arithmetic number, because the mean of its divisors is an integer number (1402800).

Almost surely, 227488020 is an apocalyptic number.

27488020 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 27488020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33667200).

27488020 is an abundant number, since it is smaller than the sum of its proper divisors (39846380).

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

27488020 is a wasteful number, since it uses less digits than its factorization.

27488020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 27488020 is about 5242.9018682405. The cubic root of 27488020 is about 301.7966995689.

The spelling of 27488020 in words is "twenty-seven million, four hundred eighty-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 4007 6860 8014 16028 20035 28049 40070 56098 80140 112196 140245 196343 280490 392686 560980 785372 981715 1374401 1963430 2748802 3926860 5497604 6872005 13744010 27488020