Search a number
-
+
112240296 = 23337193907
BaseRepresentation
bin1101011000010…
…10011010101000
321211012101202000
412230022122220
5212213142141
615045411000
72532012120
oct654123250
9254171660
10112240296
11583a1883
1231709a60
131a33ac9c
1410c99c80
159cc15b6
hex6b0a6a8

112240296 has 128 divisors (see below), whose sum is σ = 375168000. Its totient is φ = 30373056.

The previous prime is 112240283. The next prime is 112240313. The reversal of 112240296 is 692042211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26775 + ... + 30681.

It is an arithmetic number, because the mean of its divisors is an integer number (2931000).

Almost surely, 2112240296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112240296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187584000).

112240296 is an abundant number, since it is smaller than the sum of its proper divisors (262927704).

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

112240296 is a wasteful number, since it uses less digits than its factorization.

112240296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112240296 is about 10594.3520802360. The cubic root of 112240296 is about 482.3729372704.

The spelling of 112240296 in words is "one hundred twelve million, two hundred forty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 3907 4104 4788 7182 7814 9576 11721 14364 15628 23442 27349 28728 31256 35163 46884 54698 70326 74233 82047 93768 105489 109396 140652 148466 164094 210978 218792 222699 246141 281304 296932 328188 421956 445398 492282 519631 593864 656376 668097 738423 843912 890796 984564 1039262 1336194 1476846 1558893 1781592 1969128 2004291 2078524 2672388 2953692 3117786 4008582 4157048 4676679 5344776 5907384 6235572 8017164 9353358 12471144 14030037 16034328 18706716 28060074 37413432 56120148 112240296