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110731072 = 2673137173
BaseRepresentation
bin1101001100110…
…01111101000000
321201100201110211
412212121331000
5211321343242
614553203504
72513125054
oct646317500
9251321424
10110731072
1157560991
1231100594
1319c3005a
14109c5c64
159ac4317
hex6999f40

110731072 has 56 divisors (see below), whose sum is σ = 225664776. Its totient is φ = 53895168.

The previous prime is 110731067. The next prime is 110731079. The reversal of 110731072 is 270137011.

It can be written as a sum of positive squares in 4 ways, for example, as 47114496 + 63616576 = 6864^2 + 7976^2 .

It is a super-2 number, since 2×1107310722 = 24522740612538368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110731079) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 639978 + ... + 640150.

Almost surely, 2110731072 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 110731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112832388).

110731072 is an abundant number, since it is smaller than the sum of its proper divisors (114933704).

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

110731072 is a wasteful number, since it uses less digits than its factorization.

110731072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 110731072 is about 10522.8832550780. The cubic root of 110731072 is about 480.2011194231.

Adding to 110731072 its reverse (270137011), we get a palindrome (380868083).

The spelling of 110731072 in words is "one hundred ten million, seven hundred thirty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 73 137 146 173 274 292 346 548 584 692 1096 1168 1384 2192 2336 2768 4384 4672 5536 8768 10001 11072 12629 20002 23701 25258 40004 47402 50516 80008 94804 101032 160016 189608 202064 320032 379216 404128 640064 758432 808256 1516864 1730173 3460346 6920692 13841384 27682768 55365536 110731072