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112003060 = 2251332549
BaseRepresentation
bin1101010110100…
…00011111110100
321210202100022111
412223100133310
5212133044220
615040340404
72530003351
oct653203764
9253670274
10112003060
115824a614
1231614704
131a287000
1410c37628
159c7615a
hex6ad07f4

112003060 has 48 divisors (see below), whose sum is σ = 254898000. Its totient is φ = 41338752.

The previous prime is 112003051. The next prime is 112003109. The reversal of 112003060 is 60300211.

It can be written as a sum of positive squares in 8 ways, for example, as 57183844 + 54819216 = 7562^2 + 7404^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 112003060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42666 + ... + 45214.

It is an arithmetic number, because the mean of its divisors is an integer number (5310375).

Almost surely, 2112003060 is an apocalyptic number.

112003060 is a gapful number since it is divisible by the number (10) 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 112003060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127449000).

112003060 is an abundant number, since it is smaller than the sum of its proper divisors (142894940).

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

112003060 is a wasteful number, since it uses less digits than its factorization.

112003060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 112003060 is about 10583.1498146818. The cubic root of 112003060 is about 482.0328426970.

Adding to 112003060 its reverse (60300211), we get a palindrome (172303271).

The spelling of 112003060 in words is "one hundred twelve million, three thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 2197 2549 3380 4394 5098 8788 10196 10985 12745 21970 25490 33137 43940 50980 66274 132548 165685 331370 430781 662740 861562 1723124 2153905 4307810 5600153 8615620 11200306 22400612 28000765 56001530 112003060