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112841040 = 24351359613
BaseRepresentation
bin1101011100111…
…01000101010000
321212022220210210
412232131011100
5212341403130
615110324120
72540063424
oct656350520
9255286723
10112841040
1158772164
1231959640
131a4bb560
1410db4b84
159d8e5b0
hex6b9d150

112841040 has 160 divisors (see below), whose sum is σ = 383725440. Its totient is φ = 27260928.

The previous prime is 112841017. The next prime is 112841041. The reversal of 112841040 is 40148211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112840998 and 112841016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112841041) 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 31 ways as a sum of consecutive naturals, for example, 183774 + ... + 184386.

It is an arithmetic number, because the mean of its divisors is an integer number (2398284).

Almost surely, 2112841040 is an apocalyptic number.

112841040 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 112841040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191862720).

112841040 is an abundant number, since it is smaller than the sum of its proper divisors (270884400).

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

112841040 is a wasteful number, since it uses less digits than its factorization.

112841040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 112841040 is about 10622.6663319526. Note that the first 3 decimals coincide. The cubic root of 112841040 is about 483.2320083543.

Adding to 112841040 its reverse (40148211), we get a palindrome (152989251).

The spelling of 112841040 in words is "one hundred twelve million, eight hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 59 60 65 78 80 104 118 120 130 156 177 195 208 236 240 260 295 312 354 390 472 520 590 613 624 708 767 780 885 944 1040 1180 1226 1416 1534 1560 1770 1839 2301 2360 2452 2832 3065 3068 3120 3540 3678 3835 4602 4720 4904 6130 6136 7080 7356 7670 7969 9195 9204 9808 11505 12260 12272 14160 14712 15340 15938 18390 18408 23010 23907 24520 29424 30680 31876 36167 36780 36816 39845 46020 47814 49040 61360 63752 72334 73560 79690 92040 95628 108501 119535 127504 144668 147120 159380 180835 184080 191256 217002 239070 289336 318760 361670 382512 434004 470171 478140 542505 578672 637520 723340 868008 940342 956280 1085010 1410513 1446680 1736016 1880684 1912560 2170020 2350855 2821026 2893360 3761368 4340040 4701710 5642052 7052565 7522736 8680080 9403420 11284104 14105130 18806840 22568208 28210260 37613680 56420520 112841040