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112593012 = 22371924779
BaseRepresentation
bin1101011011000…
…00100001110100
321211212022120120
412231200201310
5212310434022
615101131540
72535011340
oct655404164
9254768516
10112593012
1158612884
1231859bb0
131a4326ac
1410d4c620
159d40d5c
hex6b60874

112593012 has 144 divisors (see below), whose sum is σ = 327720960. Its totient is φ = 29450304.

The previous prime is 112593001. The next prime is 112593017. The reversal of 112593012 is 210395211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112593017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1425189 + ... + 1425267.

It is an arithmetic number, because the mean of its divisors is an integer number (2275840).

Almost surely, 2112593012 is an apocalyptic number.

112593012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

112593012 is the 8664-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112593012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163860480).

112593012 is an abundant number, since it is smaller than the sum of its proper divisors (215127948).

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

112593012 is a wasteful number, since it uses less digits than its factorization.

112593012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 112593012 is about 10610.9854396281. The cubic root of 112593012 is about 482.8776958011.

The spelling of 112593012 in words is "one hundred twelve million, five hundred ninety-three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 47 57 76 79 84 94 114 133 141 158 188 228 237 266 282 316 329 361 399 474 532 553 564 658 722 798 893 948 987 1083 1106 1316 1444 1501 1596 1659 1786 1974 2166 2212 2527 2679 3002 3318 3572 3713 3948 4332 4503 5054 5358 6004 6251 6636 7426 7581 9006 10108 10507 10716 11139 12502 14852 15162 16967 18012 18753 21014 22278 25004 25991 28519 30324 31521 33934 37506 42028 44556 50901 51982 57038 63042 67868 70547 75012 77973 85557 101802 103964 114076 118769 126084 141094 155946 171114 199633 203604 211641 237538 282188 311892 342228 356307 399266 423282 475076 493829 598899 712614 798532 846564 987658 1197798 1340393 1425228 1481487 1975316 2395596 2680786 2962974 4021179 5361572 5925948 8042358 9382751 16084716 18765502 28148253 37531004 56296506 112593012