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109056 = 29371
BaseRepresentation
bin11010101000000000
312112121010
4122220000
511442211
62200520
7632643
oct325000
9175533
10109056
1174a32
1253140
133a83c
142ba5a
15224a6
hex1aa00

109056 has 40 divisors (see below), whose sum is σ = 294624. Its totient is φ = 35840.

The previous prime is 109049. The next prime is 109063. The reversal of 109056 is 650901.

Adding to 109056 its reverse (650901), we get a palindrome (759957).

109056 = T16 + T17 + ... + T86.

It is an interprime number because it is at equal distance from previous prime (109049) and next prime (109063).

It is a super-2 number, since 2×1090562 = 23786422272, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1501 + ... + 1571.

2109056 is an apocalyptic number.

109056 is a gapful number since it is divisible by the number (16) 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 109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147312).

109056 is an abundant number, since it is smaller than the sum of its proper divisors (185568).

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

109056 is an frugal number, since it uses more digits than its factorization.

109056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 109056 is about 330.2362790488. The cubic root of 109056 is about 47.7767409586.

The spelling of 109056 in words is "one hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1136 1536 1704 2272 3408 4544 6816 9088 13632 18176 27264 36352 54528 109056