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1106256 = 243191213
BaseRepresentation
bin100001110000101010000
32002012111110
410032011100
5240400011
635413320
712255144
oct4160520
92065443
101106256
11696168
12454240
132c96b8
1420b224
1516cba6
hex10e150

1106256 has 40 divisors (see below), whose sum is σ = 3010720. Its totient is φ = 349056.

The previous prime is 1106249. The next prime is 1106257. The reversal of 1106256 is 6526011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306 + ... + 1518.

It is an arithmetic number, because the mean of its divisors is an integer number (75268).

21106256 is an apocalyptic number.

1106256 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 1106256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505360).

1106256 is an abundant number, since it is smaller than the sum of its proper divisors (1904464).

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

1106256 is a wasteful number, since it uses less digits than its factorization.

1106256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1106256 is about 1051.7870506904. The cubic root of 1106256 is about 103.4233370075.

The spelling of 1106256 in words is "one million, one hundred six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1213 2426 3639 4852 7278 9704 14556 19408 23047 29112 46094 58224 69141 92188 138282 184376 276564 368752 553128 1106256