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27052480 = 265713929
BaseRepresentation
bin110011100110…
…0100111000000
31212220102000201
41213030213000
523411134410
62403454544
7445641130
oct147144700
955812021
1027052480
11142a7a24
129087454
1357b24b0
143842ac0
15259583a
hex19cc9c0

27052480 has 112 divisors (see below), whose sum is σ = 79369920. Its totient is φ = 8552448.

The previous prime is 27052477. The next prime is 27052481. The reversal of 27052480 is 8425072.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27052481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28656 + ... + 29584.

It is an arithmetic number, because the mean of its divisors is an integer number (708660).

Almost surely, 227052480 is an apocalyptic number.

27052480 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 27052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39684960).

27052480 is an abundant number, since it is smaller than the sum of its proper divisors (52317440).

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

27052480 is a wasteful number, since it uses less digits than its factorization.

27052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 27052480 is about 5201.1998615704. The cubic root of 27052480 is about 300.1942445734.

The spelling of 27052480 in words is "twenty-seven million, fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 929 1040 1120 1456 1820 1858 2080 2240 2912 3640 3716 4160 4645 5824 6503 7280 7432 9290 12077 13006 14560 14864 18580 24154 26012 29120 29728 32515 37160 48308 52024 59456 60385 65030 74320 84539 96616 104048 120770 130060 148640 169078 193232 208096 241540 260120 297280 338156 386464 416192 422695 483080 520240 676312 772928 845390 966160 1040480 1352624 1690780 1932320 2080960 2705248 3381560 3864640 5410496 6763120 13526240 27052480