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112110040 = 23572471217
BaseRepresentation
bin1101010111010…
…10100111011000
321210221210001201
412223222213120
5212200010130
615042523544
72530630300
oct653524730
9253853051
10112110040
1158312a29
12316665b4
131a2c3903
1410c64600
159c97bca
hex6aea9d8

112110040 has 96 divisors (see below), whose sum is σ = 299920320. Its totient is φ = 37588992.

The previous prime is 112110017. The next prime is 112110071. The reversal of 112110040 is 40011211.

It is a super-2 number, since 2×1121100402 = 25137322137603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 112109999 and 112110026.

It is a congruent number.

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, 91512 + ... + 92728.

It is an arithmetic number, because the mean of its divisors is an integer number (3124170).

Almost surely, 2112110040 is an apocalyptic number.

112110040 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 112110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149960160).

112110040 is an abundant number, since it is smaller than the sum of its proper divisors (187810280).

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

112110040 is a wasteful number, since it uses less digits than its factorization.

112110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 112110040 is about 10588.2028692314. The cubic root of 112110040 is about 482.1862654810.

Adding to 112110040 its reverse (40011211), we get a palindrome (152121251).

The spelling of 112110040 in words is "one hundred twelve million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 49 56 70 94 98 140 188 196 235 245 280 329 376 392 470 490 658 940 980 1217 1316 1645 1880 1960 2303 2434 2632 3290 4606 4868 6085 6580 8519 9212 9736 11515 12170 13160 17038 18424 23030 24340 34076 42595 46060 48680 57199 59633 68152 85190 92120 114398 119266 170380 228796 238532 285995 298165 340760 400393 457592 477064 571990 596330 800786 1143980 1192660 1601572 2001965 2287960 2385320 2802751 3203144 4003930 5605502 8007860 11211004 14013755 16015720 22422008 28027510 56055020 112110040