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112603842 = 232131923143
BaseRepresentation
bin1101011011000…
…11001011000010
321211212212102200
412231203023002
5212311310332
615101254030
72535055041
oct655431302
9254785380
10112603842
115861aa2a
1231864316
131a4375c0
1410d52558
159d4417c
hex6b632c2

112603842 has 144 divisors (see below), whose sum is σ = 292900608. Its totient is φ = 31026240.

The previous prime is 112603831. The next prime is 112603847. The reversal of 112603842 is 248306211.

112603842 is a `hidden beast` number, since 1 + 12 + 603 + 8 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (112603847) 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 71 ways as a sum of consecutive naturals, for example, 2618673 + ... + 2618715.

It is an arithmetic number, because the mean of its divisors is an integer number (2034032).

Almost surely, 2112603842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112603842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146450304).

112603842 is an abundant number, since it is smaller than the sum of its proper divisors (180296766).

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

112603842 is a wasteful number, since it uses less digits than its factorization.

112603842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 112603842 is about 10611.4957475372. The cubic root of 112603842 is about 482.8931775132.

The spelling of 112603842 in words is "one hundred twelve million, six hundred three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 31 38 39 43 57 62 78 86 93 114 117 129 171 186 234 247 258 279 342 361 387 403 494 558 559 589 722 741 774 806 817 1083 1118 1178 1209 1333 1482 1634 1677 1767 2166 2223 2418 2451 2666 3249 3354 3534 3627 3999 4446 4693 4902 5031 5301 6498 7254 7353 7657 7998 9386 10062 10602 10621 11191 11997 14079 14706 15314 15523 17329 21242 22382 22971 23994 25327 28158 31046 31863 33573 34658 42237 45942 46569 50654 51987 63726 67146 68913 75981 84474 93138 95589 100719 103974 137826 139707 145483 151962 155961 191178 201438 201799 227943 279414 290966 311922 329251 403598 436449 455886 481213 605397 658502 872898 962426 987753 1210794 1309347 1443639 1816191 1975506 2618694 2887278 2963259 3632382 4330917 5926518 6255769 8661834 12511538 18767307 37534614 56301921 112603842