Search a number
-
+
1113334400 = 27521392503
BaseRepresentation
bin100001001011100…
…0010001010000000
32212120221020200102
41002113002022000
54240003200100
6302250341532
736406120613
oct10227021200
92776836612
101113334400
115214a2682
12270a2a8a8
1314986c169
14a7c1017a
1567b1bcd5
hex425c2280

1113334400 has 96 divisors (see below), whose sum is σ = 2771176800. Its totient is φ = 441953280.

The previous prime is 1113334399. The next prime is 1113334433. The reversal of 1113334400 is 44333111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

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, 443549 + ... + 446051.

It is an arithmetic number, because the mean of its divisors is an integer number (28866425).

Almost surely, 21113334400 is an apocalyptic number.

1113334400 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 1113334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385588400).

1113334400 is an abundant number, since it is smaller than the sum of its proper divisors (1657842400).

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

1113334400 is a wasteful number, since it uses less digits than its factorization.

1113334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1113334400 is about 33366.6660006660. Note that the first 3 decimals coincide. The cubic root of 1113334400 is about 1036.4345359406.

Adding to 1113334400 its reverse (44333111), we get a palindrome (1157667511).

The spelling of 1113334400 in words is "one billion, one hundred thirteen million, three hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 139 160 200 278 320 400 556 640 695 800 1112 1390 1600 2224 2503 2780 3200 3475 4448 5006 5560 6950 8896 10012 11120 12515 13900 17792 20024 22240 25030 27800 40048 44480 50060 55600 62575 80096 88960 100120 111200 125150 160192 200240 222400 250300 320384 347917 400480 444800 500600 695834 800960 1001200 1391668 1601920 1739585 2002400 2783336 3479170 4004800 5566672 6958340 8009600 8697925 11133344 13916680 17395850 22266688 27833360 34791700 44533376 55666720 69583400 111333440 139166800 222666880 278333600 556667200 1113334400