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112397320 = 23572331563
BaseRepresentation
bin1101011001100…
…00110000001000
321211111101010201
412230300300020
5212233203240
615053021544
72533234660
oct654606010
9254441121
10112397320
1158499852
12317848b4
131a3945b9
1410cdb1a0
159d02d9a
hex6b30c08

112397320 has 128 divisors (see below), whose sum is σ = 311869440. Its totient is φ = 35608320.

The previous prime is 112397309. The next prime is 112397321. The reversal of 112397320 is 23793211.

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

It is not an unprimeable number, because it can be changed into a prime (112397321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199359 + ... + 199921.

It is an arithmetic number, because the mean of its divisors is an integer number (2436480).

Almost surely, 2112397320 is an apocalyptic number.

112397320 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 112397320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155934720).

112397320 is an abundant number, since it is smaller than the sum of its proper divisors (199472120).

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

112397320 is a wasteful number, since it uses less digits than its factorization.

112397320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 112397320 is about 10601.7602312069. The cubic root of 112397320 is about 482.5977787824.

The spelling of 112397320 in words is "one hundred twelve million, three hundred ninety-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 31 35 40 46 56 62 70 92 115 124 140 155 161 184 217 230 248 280 310 322 434 460 563 620 644 713 805 868 920 1085 1126 1240 1288 1426 1610 1736 2170 2252 2815 2852 3220 3565 3941 4340 4504 4991 5630 5704 6440 7130 7882 8680 9982 11260 12949 14260 15764 17453 19705 19964 22520 24955 25898 28520 31528 34906 39410 39928 49910 51796 64745 69812 78820 87265 90643 99820 103592 122171 129490 139624 157640 174530 181286 199640 244342 258980 349060 362572 401419 453215 488684 517960 610855 698120 725144 802838 906430 977368 1221710 1605676 1812860 2007095 2443420 2809933 3211352 3625720 4014190 4886840 5619866 8028380 11239732 14049665 16056760 22479464 28099330 56198660 112397320