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27093696 = 2637191061
BaseRepresentation
bin110011101011…
…0101011000000
31212222111120020
41213112223000
523413444241
62404413440
7446202240
oct147265300
955874506
1027093696
1114325993
1290a7280
1357c8196
143853b20
1525a2b66
hex19d6ac0

27093696 has 112 divisors (see below), whose sum is σ = 86319360. Its totient is φ = 7326720.

The previous prime is 27093691. The next prime is 27093707. The reversal of 27093696 is 69639072.

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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27093691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25006 + ... + 26066.

Almost surely, 227093696 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 27093696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43159680).

27093696 is an abundant number, since it is smaller than the sum of its proper divisors (59225664).

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

27093696 is a wasteful number, since it uses less digits than its factorization.

27093696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 27093696 is about 5205.1605162569. The cubic root of 27093696 is about 300.3466215796.

The spelling of 27093696 in words is "twenty-seven million, ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1061 1064 1216 1344 1596 1824 2122 2128 3183 3192 3648 4244 4256 6366 6384 7427 8488 8512 12732 12768 14854 16976 20159 22281 25464 25536 29708 33952 40318 44562 50928 59416 60477 67904 80636 89124 101856 118832 120954 141113 161272 178248 203712 237664 241908 282226 322544 356496 423339 475328 483816 564452 645088 712992 846678 967632 1128904 1290176 1425984 1693356 1935264 2257808 3386712 3870528 4515616 6773424 9031232 13546848 27093696