Search a number
-
+
1103156400 = 243524321379
BaseRepresentation
bin100000111000000…
…1101010010110000
32211212210011002110
41001300031102300
54224402001100
6301244245320
736223450263
oct10160152260
92755704073
101103156400
11516780805
12269540840
13147717588
14a6720cda
1566cab250
hex41c0d4b0

1103156400 has 120 divisors (see below), whose sum is σ = 3616127680. Its totient is φ = 287320320.

The previous prime is 1103156399. The next prime is 1103156419. The reversal of 1103156400 is 46513011.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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, 40911 + ... + 62289.

Almost surely, 21103156400 is an apocalyptic number.

1103156400 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 1103156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808063840).

1103156400 is an abundant number, since it is smaller than the sum of its proper divisors (2512971280).

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

1103156400 is a wasteful number, since it uses less digits than its factorization.

1103156400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21443 (or 21432 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1103156400 is about 33213.7983374380. The cubic root of 1103156400 is about 1033.2665328537.

Adding to 1103156400 its reverse (46513011), we get a palindrome (1149669411).

The spelling of 1103156400 in words is "one billion, one hundred three million, one hundred fifty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 129 150 172 200 215 240 258 300 344 400 430 516 600 645 688 860 1032 1075 1200 1290 1720 2064 2150 2580 3225 3440 4300 5160 6450 8600 10320 12900 17200 21379 25800 42758 51600 64137 85516 106895 128274 171032 213790 256548 320685 342064 427580 513096 534475 641370 855160 919297 1026192 1068950 1282740 1603425 1710320 1838594 2137900 2565480 2757891 3206850 3677188 4275800 4596485 5130960 5515782 6413700 7354376 8551600 9192970 11031564 12827400 13789455 14708752 18385940 22063128 22982425 25654800 27578910 36771880 44126256 45964850 55157820 68947275 73543760 91929700 110315640 137894550 183859400 220631280 275789100 367718800 551578200 1103156400