Search a number
-
+
110028400 = 2452436397
BaseRepresentation
bin1101000111011…
…10011001110000
321200001000120221
412203232121300
5211131402100
614530142424
72504140336
oct643563160
9250030527
10110028400
1157120a69
1230a21a14
1319a45281
1410881b56
1599d601a
hex68ee670

110028400 has 60 divisors (see below), whose sum is σ = 270533032. Its totient is φ = 42981120.

The previous prime is 110028367. The next prime is 110028467. The reversal of 110028400 is 4820011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14002 + ... + 20398.

Almost surely, 2110028400 is an apocalyptic number.

110028400 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 110028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135266516).

110028400 is an abundant number, since it is smaller than the sum of its proper divisors (160504632).

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

110028400 is a wasteful number, since it uses less digits than its factorization.

110028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 110028400 is about 10489.4423112003. The cubic root of 110028400 is about 479.1832174077.

Adding to 110028400 its reverse (4820011), we get a palindrome (114848411).

The spelling of 110028400 in words is "one hundred ten million, twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 688 860 1075 1720 2150 3440 4300 6397 8600 12794 17200 25588 31985 51176 63970 102352 127940 159925 255880 275071 319850 511760 550142 639700 1100284 1279400 1375355 2200568 2558800 2750710 4401136 5501420 6876775 11002840 13753550 22005680 27507100 55014200 110028400