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112320440 = 23531239379
BaseRepresentation
bin1101011000111…
…01111110111000
321211100110200022
412230131332320
5212223223230
615051230012
72532464561
oct654357670
9254313608
10112320440
1158447011
1231748308
131a3685cb
1410cbb168
159cda1e5
hex6b1dfb8

112320440 has 64 divisors (see below), whose sum is σ = 262656000. Its totient is φ = 43182720.

The previous prime is 112320437. The next prime is 112320473. The reversal of 112320440 is 44023211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296171 + ... + 296549.

It is an arithmetic number, because the mean of its divisors is an integer number (4104000).

Almost surely, 2112320440 is an apocalyptic number.

112320440 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 112320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328000).

112320440 is an abundant number, since it is smaller than the sum of its proper divisors (150335560).

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

112320440 is a wasteful number, since it uses less digits than its factorization.

112320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 112320440 is about 10598.1337979854. The cubic root of 112320440 is about 482.4877210581.

Adding to 112320440 its reverse (44023211), we get a palindrome (156343651).

The spelling of 112320440 in words is "one hundred twelve million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 239 248 310 379 478 620 758 956 1195 1240 1516 1895 1912 2390 3032 3790 4780 7409 7580 9560 11749 14818 15160 23498 29636 37045 46996 58745 59272 74090 90581 93992 117490 148180 181162 234980 296360 362324 452905 469960 724648 905810 1811620 2808011 3623240 5616022 11232044 14040055 22464088 28080110 56160220 112320440