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27387072 = 2636587
BaseRepresentation
bin110100001111…
…0010011000000
31220112102000000
41220132103000
524002341242
62415000000
7451533456
oct150362300
956472000
1027387072
1114506349
129209000
13589b88b
1438cc9d6
15260ea4c
hex1a1e4c0

27387072 has 98 divisors (see below), whose sum is σ = 81620868. Its totient is φ = 9113472.

The previous prime is 27387071. The next prime is 27387083. The reversal of 27387072 is 27078372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27387071) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46363 + ... + 46949.

It is an arithmetic number, because the mean of its divisors is an integer number (832866).

Almost surely, 227387072 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 27387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40810434).

27387072 is an abundant number, since it is smaller than the sum of its proper divisors (54233796).

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

27387072 is an frugal number, since it uses more digits than its factorization.

27387072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 27387072 is about 5233.2659019010. The cubic root of 27387072 is about 301.4268033494.

The spelling of 27387072 in words is "twenty-seven million, three hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 587 648 729 864 972 1174 1296 1458 1728 1761 1944 2348 2592 2916 3522 3888 4696 5184 5283 5832 7044 7776 9392 10566 11664 14088 15552 15849 18784 21132 23328 28176 31698 37568 42264 46656 47547 56352 63396 84528 95094 112704 126792 142641 169056 190188 253584 285282 338112 380376 427923 507168 570564 760752 855846 1014336 1141128 1521504 1711692 2282256 3043008 3423384 4564512 6846768 9129024 13693536 27387072