Search a number
-
+
112445040 = 24351924659
BaseRepresentation
bin1101011001111…
…00011001110000
321211120210121010
412230330121300
5212241220130
615054030520
72533524051
oct654743160
9254523533
10112445040
1158521694
12317a8440
131a3b0236
1410d10728
159d120b0
hex6b3c670

112445040 has 80 divisors (see below), whose sum is σ = 366940800. Its totient is φ = 28406016.

The previous prime is 112445027. The next prime is 112445051. The reversal of 112445040 is 40544211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 112444998 and 112445016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7770 + ... + 16889.

It is an arithmetic number, because the mean of its divisors is an integer number (4586760).

Almost surely, 2112445040 is an apocalyptic number.

112445040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112445040 is an abundant number, since it is smaller than the sum of its proper divisors (254495760).

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

112445040 is a wasteful number, since it uses less digits than its factorization.

112445040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24694 (or 24688 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 112445040 is about 10604.0105620468. The cubic root of 112445040 is about 482.6660672065. Note that the first 3 decimals are identical.

Adding to 112445040 its reverse (40544211), we get a palindrome (152989251).

It can be divided in two parts, 1124 and 45040, that added together give a palindrome (46164).

The spelling of 112445040 in words is "one hundred twelve million, four hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 24659 49318 73977 98636 123295 147954 197272 246590 295908 369885 394544 468521 493180 591816 739770 937042 986360 1183632 1405563 1479540 1874084 1972720 2342605 2811126 2959080 3748168 4685210 5622252 5918160 7027815 7496336 9370420 11244504 14055630 18740840 22489008 28111260 37481680 56222520 112445040