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112371400 = 23525989107
BaseRepresentation
bin1101011001010…
…10011011001000
321211110001120201
412230222123020
5212231341100
615052301544
72533066261
oct654523310
9254401521
10112371400
1158481329
12317718b4
131a38586b
1410cd1968
159cea36a
hex6b2a6c8

112371400 has 96 divisors (see below), whose sum is σ = 271188000. Its totient is φ = 43281920.

The previous prime is 112371277. The next prime is 112371419. The reversal of 112371400 is 4173211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1050147 + ... + 1050253.

It is an arithmetic number, because the mean of its divisors is an integer number (2824875).

Almost surely, 2112371400 is an apocalyptic number.

112371400 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 112371400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135594000).

112371400 is an abundant number, since it is smaller than the sum of its proper divisors (158816600).

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

112371400 is a wasteful number, since it uses less digits than its factorization.

112371400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 112371400 is about 10600.5377222101. The cubic root of 112371400 is about 482.5606785617.

The spelling of 112371400 in words is "one hundred twelve million, three hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 89 100 107 118 178 200 214 236 295 356 428 445 472 535 590 712 856 890 1070 1180 1475 1780 2140 2225 2360 2675 2950 3560 4280 4450 5251 5350 5900 6313 8900 9523 10502 10700 11800 12626 17800 19046 21004 21400 25252 26255 31565 38092 42008 47615 50504 52510 63130 76184 95230 105020 126260 131275 157825 190460 210040 238075 252520 262550 315650 380920 476150 525100 561857 631300 952300 1050200 1123714 1262600 1904600 2247428 2809285 4494856 5618570 11237140 14046425 22474280 28092850 56185700 112371400