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27171072 = 28333931
BaseRepresentation
bin110011110100…
…1100100000000
31220010102201000
41213221210000
523423433242
62410212000
7446643645
oct147514400
956112630
1027171072
1114379035
129124000
135824476
143873dcc
1525baa4c
hex19e9900

27171072 has 72 divisors (see below), whose sum is σ = 80370080. Its totient is φ = 9054720.

The previous prime is 27171071. The next prime is 27171127. The reversal of 27171072 is 27017172.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (27171071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4947 + ... + 8877.

Almost surely, 227171072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40185040).

27171072 is an abundant number, since it is smaller than the sum of its proper divisors (53199008).

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

27171072 is an equidigital number, since it uses as much as digits as its factorization.

27171072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 27171072 is about 5212.5878409865. The cubic root of 27171072 is about 300.6322665273.

The spelling of 27171072 in words is "twenty-seven million, one hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 3931 6912 7862 11793 15724 23586 31448 35379 47172 62896 70758 94344 106137 125792 141516 188688 212274 251584 283032 377376 424548 503168 566064 754752 849096 1006336 1132128 1509504 1698192 2264256 3019008 3396384 4528512 6792768 9057024 13585536 27171072