Search a number
-
+
1113402400 = 255211235501
BaseRepresentation
bin100001001011101…
…0010110000100000
32212121001200221221
41002113102300200
54240012334100
6302252024424
736406523065
oct10227226040
92777050857
101113402400
11521539780
12270a62114
131498940b6
14a7c2ac6c
1567b3201a
hex425d2c20

1113402400 has 144 divisors (see below), whose sum is σ = 3094676928. Its totient is φ = 387200000.

The previous prime is 1113402391. The next prime is 1113402401. The reversal of 1113402400 is 42043111.

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

It is not an unprimeable number, because it can be changed into a prime (1113402401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199650 + ... + 205150.

It is an arithmetic number, because the mean of its divisors is an integer number (21490812).

Almost surely, 21113402400 is an apocalyptic number.

1113402400 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 1113402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547338464).

1113402400 is an abundant number, since it is smaller than the sum of its proper divisors (1981274528).

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

1113402400 is a wasteful number, since it uses less digits than its factorization.

1113402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1113402400 is about 33367.6849661465. The cubic root of 1113402400 is about 1036.4556365532.

Adding to 1113402400 its reverse (42043111), we get a palindrome (1155445511).

The spelling of 1113402400 in words is "one billion, one hundred thirteen million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 80 88 92 100 110 115 160 176 184 200 220 230 253 275 352 368 400 440 460 506 550 575 736 800 880 920 1012 1100 1150 1265 1760 1840 2024 2200 2300 2530 3680 4048 4400 4600 5060 5501 6325 8096 8800 9200 10120 11002 12650 18400 20240 22004 25300 27505 40480 44008 50600 55010 60511 88016 101200 110020 121022 126523 137525 176032 202400 220040 242044 253046 275050 302555 440080 484088 506092 550100 605110 632615 880160 968176 1012184 1100200 1210220 1265230 1391753 1512775 1936352 2024368 2200400 2420440 2530460 2783506 3025550 3163075 4048736 4400800 4840880 5060920 5567012 6051100 6326150 6958765 9681760 10121840 11134024 12102200 12652300 13917530 20243680 22268048 24204400 25304600 27835060 34793825 44536096 48408800 50609200 55670120 69587650 101218400 111340240 139175300 222680480 278350600 556701200 1113402400