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112150416 = 24372411163
BaseRepresentation
bin1101010111101…
…00011110010000
321211000211110010
412223310132100
5212202303131
615043434520
72531156100
oct653643620
9254024403
10112150416
11583402a4
1231685a40
131a3090c1
1410c75200
159ca4b46
hex6af4790

112150416 has 120 divisors (see below), whose sum is σ = 345540384. Its totient is φ = 31234560.

The previous prime is 112150403. The next prime is 112150421. The reversal of 112150416 is 614051211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 112150392 and 112150401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95851 + ... + 97013.

Almost surely, 2112150416 is an apocalyptic number.

112150416 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 112150416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172770192).

112150416 is an abundant number, since it is smaller than the sum of its proper divisors (233389968).

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

112150416 is a wasteful number, since it uses less digits than its factorization.

112150416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 112150416 is about 10590.1093478774. The cubic root of 112150416 is about 482.2441443766.

The spelling of 112150416 in words is "one hundred twelve million, one hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 49 56 82 84 98 112 123 147 164 168 196 246 287 294 328 336 392 492 574 588 656 784 861 984 1148 1163 1176 1722 1968 2009 2296 2326 2352 3444 3489 4018 4592 4652 6027 6888 6978 8036 8141 9304 12054 13776 13956 16072 16282 18608 24108 24423 27912 32144 32564 47683 48216 48846 55824 56987 65128 95366 96432 97692 113974 130256 143049 170961 190732 195384 227948 286098 333781 341922 381464 390768 455896 572196 667562 683844 762928 911792 1001343 1144392 1335124 1367688 2002686 2288784 2336467 2670248 2735376 4005372 4672934 5340496 7009401 8010744 9345868 14018802 16021488 18691736 28037604 37383472 56075208 112150416