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112149696 = 26353103107
BaseRepresentation
bin1101010111101…
…00010011000000
321211000210110110
412223310103000
5212202242241
615043431320
72531154021
oct653642300
9254023413
10112149696
115833a7aa
1231685540
131a308989
1410c74c48
159ca4816
hex6af44c0

112149696 has 112 divisors (see below), whose sum is σ = 308116224. Its totient is φ = 35982336.

The previous prime is 112149691. The next prime is 112149727. The reversal of 112149696 is 696941211.

It is not an unprimeable number, because it can be changed into a prime (112149691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048075 + ... + 1048181.

Almost surely, 2112149696 is an apocalyptic number.

112149696 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 112149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154058112).

112149696 is an abundant number, since it is smaller than the sum of its proper divisors (195966528).

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

112149696 is a wasteful number, since it uses less digits than its factorization.

112149696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 112149696 is about 10590.0753538396. The cubic root of 112149696 is about 482.2431123801.

It can be divided in two parts, 11214 and 9696, that added together give a triangular number (20910 = T204).

The spelling of 112149696 in words is "one hundred twelve million, one hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 103 106 107 159 192 206 212 214 309 318 321 412 424 428 618 636 642 824 848 856 1236 1272 1284 1648 1696 1712 2472 2544 2568 3296 3392 3424 4944 5088 5136 5459 5671 6592 6848 9888 10176 10272 10918 11021 11342 16377 17013 19776 20544 21836 22042 22684 32754 33063 34026 43672 44084 45368 65508 66126 68052 87344 88168 90736 131016 132252 136104 174688 176336 181472 262032 264504 272208 349376 352672 362944 524064 529008 544416 584113 705344 1048128 1058016 1088832 1168226 1752339 2116032 2336452 3504678 4672904 7009356 9345808 14018712 18691616 28037424 37383232 56074848 112149696