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27974214 = 2331731983
BaseRepresentation
bin110101010110…
…1101001000110
31221122020102000
41222231221012
524130133324
62435330130
7456530322
oct152555106
957566360
1027974214
1114877494
129450946
135a45bb8
143a02982
1526c89c9
hex1aada46

27974214 has 64 divisors (see below), whose sum is σ = 68014080. Its totient is φ = 8484480.

The previous prime is 27974207. The next prime is 27974227. The reversal of 27974214 is 41247972.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 27967 + ... + 28949.

It is an arithmetic number, because the mean of its divisors is an integer number (1062720).

Almost surely, 227974214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27974214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34007040).

27974214 is an abundant number, since it is smaller than the sum of its proper divisors (40039866).

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

27974214 is a wasteful number, since it uses less digits than its factorization.

27974214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1036 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 27974214 is about 5289.0655129238. The cubic root of 27974214 is about 303.5656525063.

The spelling of 27974214 in words is "twenty-seven million, nine hundred seventy-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 306 459 527 558 837 918 983 1054 1581 1674 1966 2949 3162 4743 5898 8847 9486 14229 16711 17694 26541 28458 30473 33422 50133 53082 60946 91419 100266 150399 182838 274257 300798 451197 518041 548514 822771 902394 1036082 1554123 1645542 3108246 4662369 9324738 13987107 27974214