Search a number
-
+
112693140 = 22335724259
BaseRepresentation
bin1101011011110…
…00111110010100
321212001101221000
412231320332110
5212322140030
615103223300
72535606300
oct655707624
9255041830
10112693140
115868102a
12318a7b30
131a469141
1410d76d00
159d60860
hex6b78f94

112693140 has 144 divisors (see below), whose sum is σ = 407937600. Its totient is φ = 25752384.

The previous prime is 112693121. The next prime is 112693151. The reversal of 112693140 is 41396211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24331 + ... + 28589.

It is an arithmetic number, because the mean of its divisors is an integer number (2832900).

Almost surely, 2112693140 is an apocalyptic number.

112693140 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 112693140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203968800).

112693140 is an abundant number, since it is smaller than the sum of its proper divisors (295244460).

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

112693140 is a wasteful number, since it uses less digits than its factorization.

112693140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 112693140 is about 10615.7025203234. The cubic root of 112693140 is about 483.0207930557.

The spelling of 112693140 in words is "one hundred twelve million, six hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4259 4410 5292 6615 8518 8820 12777 13230 17036 21295 25554 26460 29813 38331 42590 51108 59626 63885 76662 85180 89439 114993 119252 127770 149065 153324 178878 191655 208691 229986 255540 268317 298130 357756 383310 417382 447195 459972 536634 574965 596260 626073 766620 804951 834764 894390 1043455 1073268 1149930 1252146 1341585 1609902 1788780 1878219 2086910 2299860 2504292 2683170 3130365 3219804 3756438 4024755 4173820 5366340 5634657 6260730 7512876 8049510 9391095 11269314 12521460 16099020 18782190 22538628 28173285 37564380 56346570 112693140