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27000064 = 287131961
BaseRepresentation
bin110011011111…
…1110100000000
31212210202010101
41212333310000
523403000224
62402412144
7445332250
oct146776400
955722111
1027000064
1114271603
129061054
135794690
14382b960
152585044
hex19bfd00

27000064 has 144 divisors (see below), whose sum is σ = 70967680. Its totient is φ = 9953280.

The previous prime is 27000049. The next prime is 27000079. The reversal of 27000064 is 46000072.

It is an interprime number because it is at equal distance from previous prime (27000049) and next prime (27000079).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 27000064 = 43 + 3003 = 1663 + 2823.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442594 + ... + 442654.

Almost surely, 227000064 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 27000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35483840).

27000064 is an abundant number, since it is smaller than the sum of its proper divisors (43967616).

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

27000064 is a wasteful number, since it uses less digits than its factorization.

27000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 27000064 is about 5196.1585811059. The cubic root of 27000064 is about 300.0002370368. Note that the first 3 decimals are identical.

The spelling of 27000064 in words is "twenty-seven million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 61 64 76 91 104 112 122 128 133 152 182 208 224 244 247 256 266 304 364 416 427 448 488 494 532 608 728 793 832 854 896 976 988 1064 1159 1216 1456 1586 1664 1708 1729 1792 1952 1976 2128 2318 2432 2912 3172 3328 3416 3458 3904 3952 4256 4636 4864 5551 5824 6344 6832 6916 7808 7904 8113 8512 9272 11102 11648 12688 13664 13832 15067 15616 15808 16226 17024 18544 22204 23296 25376 27328 27664 30134 31616 32452 34048 37088 44408 50752 54656 55328 60268 63232 64904 74176 88816 101504 105469 109312 110656 120536 129808 148352 177632 203008 210938 221312 241072 259616 296704 355264 421876 442624 482144 519232 710528 843752 964288 1038464 1421056 1687504 1928576 2076928 3375008 3857152 6750016 13500032 27000064