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27078968 = 2372371867
BaseRepresentation
bin110011101001…
…1000100111000
31212221202100202
41213103010320
523413011333
62404221332
7446111300
oct147230470
955852322
1027078968
1114315914
12909a848
1357c1577
14384c600
15259d5e8
hex19d3138

27078968 has 48 divisors (see below), whose sum is σ = 60691320. Its totient is φ = 11285568.

The previous prime is 27078967. The next prime is 27078991. The reversal of 27078968 is 86987072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27078967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13571 + ... + 15437.

Almost surely, 227078968 is an apocalyptic number.

27078968 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 27078968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30345660).

27078968 is an abundant number, since it is smaller than the sum of its proper divisors (33612352).

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

27078968 is a wasteful number, since it uses less digits than its factorization.

27078968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The square root of 27078968 is about 5203.7455741033. The cubic root of 27078968 is about 300.2921893995.

The spelling of 27078968 in words is "twenty-seven million, seventy-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 1036 1813 1867 2072 3626 3734 7252 7468 13069 14504 14936 26138 52276 69079 91483 104552 138158 182966 276316 365932 483553 552632 731864 967106 1934212 3384871 3868424 6769742 13539484 27078968