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112040200 = 235217311063
BaseRepresentation
bin1101010110110…
…01100100001000
321210211020021001
412223121210020
5212140241300
615041224344
72530216546
oct653314410
9253736231
10112040200
1158275508
12316320b4
131a29ab9c
1410c46d96
159c8216a
hex6ad9908

112040200 has 96 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 40780800.

The previous prime is 112040197. The next prime is 112040221. The reversal of 112040200 is 2040211.

112040200 = 103 + 113 + ... + 1453.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104869 + ... + 105931.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2112040200 is an apocalyptic number.

112040200 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 112040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

112040200 is an abundant number, since it is smaller than the sum of its proper divisors (172941560).

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

112040200 is a wasteful number, since it uses less digits than its factorization.

112040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 112040200 is about 10584.9043453401. The cubic root of 112040200 is about 482.0861171978.

Adding to 112040200 its reverse (2040211), we get a palindrome (114080411).

The spelling of 112040200 in words is "one hundred twelve million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 31 34 40 50 62 68 85 100 124 136 155 170 200 248 310 340 425 527 620 680 775 850 1054 1063 1240 1550 1700 2108 2126 2635 3100 3400 4216 4252 5270 5315 6200 8504 10540 10630 13175 18071 21080 21260 26350 26575 32953 36142 42520 52700 53150 65906 72284 90355 105400 106300 131812 144568 164765 180710 212600 263624 329530 361420 451775 560201 659060 722840 823825 903550 1120402 1318120 1647650 1807100 2240804 2801005 3295300 3614200 4481608 5602010 6590600 11204020 14005025 22408040 28010050 56020100 112040200