Search a number
-
+
27706096 = 241131301
BaseRepresentation
bin110100110110…
…0001011110000
31221010121121201
41221230023300
524043043341
62425500544
7454332535
oct151541360
957117551
1027706096
1114704000
129341754
135980b52
143972d8c
152674331
hex1a6c2f0

27706096 has 40 divisors (see below), whose sum is σ = 59089968. Its totient is φ = 12584000.

The previous prime is 27706087. The next prime is 27706109. The reversal of 27706096 is 69060772.

It is a super-2 number, since 2×277060962 = 1535255511122432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20646 + ... + 21946.

Almost surely, 227706096 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 27706096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29544984).

27706096 is an abundant number, since it is smaller than the sum of its proper divisors (31383872).

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

27706096 is a wasteful number, since it uses less digits than its factorization.

27706096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 27706096 is about 5263.6580436043. The cubic root of 27706096 is about 302.5926988630.

The spelling of 27706096 in words is "twenty-seven million, seven hundred six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1301 1331 1936 2602 2662 5204 5324 10408 10648 14311 20816 21296 28622 57244 114488 157421 228976 314842 629684 1259368 1731631 2518736 3463262 6926524 13853048 27706096