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27064320 = 21135881
BaseRepresentation
bin110011100111…
…1100000000000
31212221000021020
41213033200000
523412024240
62404025440
7446020503
oct147174000
955830236
1027064320
1114305908
129092280
1357b79ba
14384713a
1525990d0
hex19cf800

27064320 has 96 divisors (see below), whose sum is σ = 86682960. Its totient is φ = 7208960.

The previous prime is 27064319. The next prime is 27064343. The reversal of 27064320 is 2346072.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30280 + ... + 31160.

Almost surely, 227064320 is an apocalyptic number.

27064320 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 27064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43341480).

27064320 is an abundant number, since it is smaller than the sum of its proper divisors (59618640).

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

27064320 is an equidigital number, since it uses as much as digits as its factorization.

27064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 27064320 is about 5202.3379359669. The cubic root of 27064320 is about 300.2380333061.

The spelling of 27064320 in words is "twenty-seven million, sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 881 960 1024 1280 1536 1762 1920 2048 2560 2643 3072 3524 3840 4405 5120 5286 6144 7048 7680 8810 10240 10572 13215 14096 15360 17620 21144 26430 28192 30720 35240 42288 52860 56384 70480 84576 105720 112768 140960 169152 211440 225536 281920 338304 422880 451072 563840 676608 845760 902144 1127680 1353216 1691520 1804288 2255360 2706432 3383040 4510720 5412864 6766080 9021440 13532160 27064320