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112004532 = 2235139829
BaseRepresentation
bin1101010110100…
…00110110110100
321210202102100000
412223100312310
5212133121112
615040351300
72530010553
oct653206664
9253672300
10112004532
1158250732
1231615530
131a287893
1410c37d9a
159c767dc
hex6ad0db4

112004532 has 72 divisors (see below), whose sum is σ = 296077600. Its totient is φ = 37021536.

The previous prime is 112004521. The next prime is 112004533. The reversal of 112004532 is 235400211.

112004532 is a `hidden beast` number, since 11 + 200 + 453 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112004533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134694 + ... + 135522.

Almost surely, 2112004532 is an apocalyptic number.

112004532 is a gapful number since it is divisible by the number (12) 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 112004532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148038800).

112004532 is an abundant number, since it is smaller than the sum of its proper divisors (184073068).

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

112004532 is a wasteful number, since it uses less digits than its factorization.

112004532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 112004532 is about 10583.2193589663. The cubic root of 112004532 is about 482.0349543930.

Adding to 112004532 its reverse (235400211), we get a palindrome (347404743).

The spelling of 112004532 in words is "one hundred twelve million, four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 243 278 324 417 486 556 829 834 972 1251 1658 1668 2487 2502 3316 3753 4974 5004 7461 7506 9948 11259 14922 15012 22383 22518 29844 33777 44766 45036 67149 67554 89532 115231 134298 135108 201447 230462 268596 345693 402894 460924 691386 805788 1037079 1382772 2074158 3111237 4148316 6222474 9333711 12444948 18667422 28001133 37334844 56002266 112004532