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112102304 = 2537731297
BaseRepresentation
bin1101010111010…
…00101110100000
321210221101110012
412223220232200
5212144233204
615042424052
72530565606
oct653505640
9253841405
10112102304
1158308136
1231662028
131a2c0232
1410c61876
159c9576e
hex6ae8ba0

112102304 has 48 divisors (see below), whose sum is σ = 229948488. Its totient is φ = 53747712.

The previous prime is 112102273. The next prime is 112102307. The reversal of 112102304 is 403201211.

It can be written as a sum of positive squares in 4 ways, for example, as 106090000 + 6012304 = 10300^2 + 2452^2 .

It is not an unprimeable number, because it can be changed into a prime (112102307) 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, 85784 + ... + 87080.

Almost surely, 2112102304 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 112102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114974244).

112102304 is an abundant number, since it is smaller than the sum of its proper divisors (117846184).

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

112102304 is a wasteful number, since it uses less digits than its factorization.

112102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 112102304 is about 10587.8375506994. The cubic root of 112102304 is about 482.1751743579.

Adding to 112102304 its reverse (403201211), we get a palindrome (515303515).

The spelling of 112102304 in words is "one hundred twelve million, one hundred two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 37 73 74 146 148 292 296 584 592 1168 1184 1297 2336 2594 2701 5188 5402 10376 10804 20752 21608 41504 43216 47989 86432 94681 95978 189362 191956 378724 383912 757448 767824 1514896 1535648 3029792 3503197 7006394 14012788 28025576 56051152 112102304