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112645940 = 225113183199
BaseRepresentation
bin1101011011011…
…01011100110100
321211222000011212
412231231130310
5212314132230
615102220552
72535321551
oct655553464
9254860155
10112645940
1158649620
1231884758
131a450804
1410d63a28
159d51895
hex6b6d734

112645940 has 96 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 38966400.

The previous prime is 112645933. The next prime is 112645963. The reversal of 112645940 is 49546211.

It is a junction number, because it is equal to n+sod(n) for n = 112645897 and 112645906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565961 + ... + 566159.

It is an arithmetic number, because the mean of its divisors is an integer number (2822400).

Almost surely, 2112645940 is an apocalyptic number.

112645940 is a gapful number since it is divisible by the number (10) 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 112645940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

112645940 is an abundant number, since it is smaller than the sum of its proper divisors (158304460).

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

112645940 is a wasteful number, since it uses less digits than its factorization.

112645940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 112645940 is about 10613.4791656648. The cubic root of 112645940 is about 482.9533480597.

The spelling of 112645940 in words is "one hundred twelve million, six hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 83 110 124 155 166 199 220 310 332 341 398 415 620 682 796 830 913 995 1364 1660 1705 1826 1990 2189 2573 3410 3652 3980 4378 4565 5146 6169 6820 8756 9130 10292 10945 12338 12865 16517 18260 21890 24676 25730 28303 30845 33034 43780 51460 56606 61690 66068 67859 82585 113212 123380 135718 141515 165170 181687 271436 283030 330340 339295 363374 512027 566060 678590 726748 908435 1024054 1357180 1816870 2048108 2560135 3633740 5120270 5632297 10240540 11264594 22529188 28161485 56322970 112645940