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112444440 = 233531167181
BaseRepresentation
bin1101011001111…
…00010000011000
321211120202202220
412230330100120
5212241210230
615054024040
72533522233
oct654742030
9254522686
10112444440
1158521199
12317a8020
131a3acb94
1410d1041a
159d11d10
hex6b3c418

112444440 has 128 divisors (see below), whose sum is σ = 352235520. Its totient is φ = 28684800.

The previous prime is 112444433. The next prime is 112444457. The reversal of 112444440 is 44444211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112444440.

It is a congruent number.

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, 621150 + ... + 621330.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2112444440 is an apocalyptic number.

112444440 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 112444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

112444440 is an abundant number, since it is smaller than the sum of its proper divisors (239791080).

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

112444440 is a wasteful number, since it uses less digits than its factorization.

112444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 112444440 is about 10603.9822708264. The cubic root of 112444440 is about 482.6652087126.

Adding to 112444440 its reverse (44444211), we get a palindrome (156888651).

The spelling of 112444440 in words is "one hundred twelve million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 167 181 186 248 310 334 362 372 465 501 543 620 668 724 744 835 905 930 1002 1086 1240 1336 1448 1670 1810 1860 2004 2172 2505 2715 3340 3620 3720 4008 4344 5010 5177 5430 5611 6680 7240 10020 10354 10860 11222 15531 16833 20040 20708 21720 22444 25885 28055 30227 31062 33666 41416 44888 51770 56110 60454 62124 67332 77655 84165 90681 103540 112220 120908 124248 134664 151135 155310 168330 181362 207080 224440 241816 302270 310620 336660 362724 453405 604540 621240 673320 725448 906810 937037 1209080 1813620 1874074 2811111 3627240 3748148 4685185 5622222 7496296 9370370 11244444 14055555 18740740 22488888 28111110 37481480 56222220 112444440