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112545312 = 25311197541
BaseRepresentation
bin1101011010101…
…00111000100000
321211202220010220
412231110320200
5212302422222
615100123040
72534422305
oct655247040
9254686126
10112545312
115858aa60
1231836480
131a416a79
1410d390ac
159d31b5c
hex6b54e20

112545312 has 96 divisors (see below), whose sum is σ = 324523584. Its totient is φ = 33868800.

The previous prime is 112545311. The next prime is 112545337. The reversal of 112545312 is 213545211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (112545311) 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, 207762 + ... + 208302.

It is an arithmetic number, because the mean of its divisors is an integer number (3380454).

Almost surely, 2112545312 is an apocalyptic number.

112545312 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 112545312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162261792).

112545312 is an abundant number, since it is smaller than the sum of its proper divisors (211978272).

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

112545312 is a wasteful number, since it uses less digits than its factorization.

112545312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 112545312 is about 10608.7375309223. The cubic root of 112545312 is about 482.8094958328.

The spelling of 112545312 in words is "one hundred twelve million, five hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 197 264 352 394 528 541 591 788 1056 1082 1182 1576 1623 2164 2167 2364 3152 3246 4328 4334 4728 5951 6304 6492 6501 8656 8668 9456 11902 12984 13002 17312 17336 17853 18912 23804 25968 26004 34672 35706 47608 51936 52008 69344 71412 95216 104016 106577 142824 190432 208032 213154 285648 319731 426308 571296 639462 852616 1172347 1278924 1705232 2344694 2557848 3410464 3517041 4689388 5115696 7034082 9378776 10231392 14068164 18757552 28136328 37515104 56272656 112545312