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112291712 = 2713229179
BaseRepresentation
bin1101011000101…
…10111110000000
321211022000021022
412230112332000
5212221313322
615050445012
72532315041
oct654267600
9254260238
10112291712
1158427475
1231733768
131a358500
1410cb08c8
159cd1942
hex6b16f80

112291712 has 96 divisors (see below), whose sum is σ = 251991000. Its totient is φ = 49760256.

The previous prime is 112291709. The next prime is 112291717. The reversal of 112291712 is 217192211.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112291717) 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 11 ways as a sum of consecutive naturals, for example, 627239 + ... + 627417.

Almost surely, 2112291712 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 112291712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125995500).

112291712 is an abundant number, since it is smaller than the sum of its proper divisors (139699288).

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

112291712 is a wasteful number, since it uses less digits than its factorization.

112291712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 223 counting only the distinct ones).

The product of its digits is 504, while the sum is 26.

The square root of 112291712 is about 10596.7783783563. The cubic root of 112291712 is about 482.4465825407.

The spelling of 112291712 in words is "one hundred twelve million, two hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 169 179 208 232 338 358 377 416 464 676 716 754 832 928 1352 1432 1508 1664 1856 2327 2704 2864 3016 3712 4654 4901 5191 5408 5728 6032 9308 9802 10382 10816 11456 12064 18616 19604 20764 21632 22912 24128 30251 37232 39208 41528 48256 60502 67483 74464 78416 83056 121004 134966 148928 156832 166112 242008 269932 297856 313664 332224 484016 539864 627328 664448 877279 968032 1079728 1754558 1936064 2159456 3509116 3872128 4318912 7018232 8637824 14036464 28072928 56145856 112291712