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112349440 = 285712539
BaseRepresentation
bin1101011001001…
…01000100000000
321211101221110101
412230211010000
5212230140230
615052012144
72532645250
oct654450400
9254357411
10112349440
1158466885
1231761054
131a378878
1410cc7960
159ce3aca
hex6b25100

112349440 has 72 divisors (see below), whose sum is σ = 307581120. Its totient is φ = 38516736.

The previous prime is 112349429. The next prime is 112349449. The reversal of 112349440 is 44943211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 112349399 and 112349408.

It is not an unprimeable number, because it can be changed into a prime (112349449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2691 + ... + 15229.

It is an arithmetic number, because the mean of its divisors is an integer number (4271960).

Almost surely, 2112349440 is an apocalyptic number.

112349440 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 112349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153790560).

112349440 is an abundant number, since it is smaller than the sum of its proper divisors (195231680).

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

112349440 is an equidigital number, since it uses as much as digits as its factorization.

112349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12567 (or 12553 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 112349440 is about 10599.5018750883. The cubic root of 112349440 is about 482.5292419658.

The spelling of 112349440 in words is "one hundred twelve million, three hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 12539 25078 50156 62695 87773 100312 125390 175546 200624 250780 351092 401248 438865 501560 702184 802496 877730 1003120 1404368 1604992 1755460 2006240 2808736 3209984 3510920 4012480 5617472 7021840 8024960 11234944 14043680 16049920 22469888 28087360 56174720 112349440