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27019328 = 267411471
BaseRepresentation
bin110011100010…
…0100001000000
31212211201112212
41213010201000
523404104303
62403041252
7445442360
oct147044100
955751485
1027019328
1114285026
129070228
1357a038b
1438349a0
15258aad8
hex19c4840

27019328 has 56 divisors (see below), whose sum is σ = 62813184. Its totient is φ = 11289600.

The previous prime is 27019327. The next prime is 27019337. The reversal of 27019328 is 82391072.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 27019294 and 27019303.

It is not an unprimeable number, because it can be changed into a prime (27019327) 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, 17633 + ... + 19103.

It is an arithmetic number, because the mean of its divisors is an integer number (1121664).

Almost surely, 227019328 is an apocalyptic number.

27019328 is a gapful number since it is divisible by the number (28) 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 27019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31406592).

27019328 is an abundant number, since it is smaller than the sum of its proper divisors (35793856).

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

27019328 is a wasteful number, since it uses less digits than its factorization.

27019328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 27019328 is about 5198.0119276508. The cubic root of 27019328 is about 300.0715681105.

The spelling of 27019328 in words is "twenty-seven million, nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 1471 2296 2624 2942 4592 5884 9184 10297 11768 18368 20594 23536 41188 47072 60311 82376 94144 120622 164752 241244 329504 422177 482488 659008 844354 964976 1688708 1929952 3377416 3859904 6754832 13509664 27019328