Search a number
-
+
1134080000 = 21254443
BaseRepresentation
bin100001110011000…
…1011000000000000
32221000222020021222
41003212023000000
54310311030000
6304311134212
740050343454
oct10346130000
92830866258
101134080000
115321820a9
12277974368
13150c53a71
14aa890664
1569868a85
hex4398b000

1134080000 has 130 divisors (see below), whose sum is σ = 2840343924. Its totient is φ = 452608000.

The previous prime is 1134079993. The next prime is 1134080023. The reversal of 1134080000 is 804311.

It is a happy number.

It is a super-2 number, since 2×11340800002 = 2572274892800000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2559779 + ... + 2560221.

Almost surely, 21134080000 is an apocalyptic number.

1134080000 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 1134080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420171962).

1134080000 is an abundant number, since it is smaller than the sum of its proper divisors (1706263924).

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

1134080000 is an frugal number, since it uses more digits than its factorization.

1134080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1134080000 is about 33676.1042877587. The cubic root of 1134080000 is about 1042.8325151231.

Adding to 1134080000 its reverse (804311), we get a palindrome (1134884311).

The spelling of 1134080000 in words is "one billion, one hundred thirty-four million, eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 443 500 512 625 640 800 886 1000 1024 1250 1280 1600 1772 2000 2048 2215 2500 2560 3200 3544 4000 4096 4430 5000 5120 6400 7088 8000 8860 10000 10240 11075 12800 14176 16000 17720 20000 20480 22150 25600 28352 32000 35440 40000 44300 51200 55375 56704 64000 70880 80000 88600 102400 110750 113408 128000 141760 160000 177200 221500 226816 256000 276875 283520 320000 354400 443000 453632 512000 553750 567040 640000 708800 886000 907264 1107500 1134080 1280000 1417600 1772000 1814528 2215000 2268160 2560000 2835200 3544000 4430000 4536320 5670400 7088000 8860000 9072640 11340800 14176000 17720000 22681600 28352000 35440000 45363200 56704000 70880000 113408000 141760000 226816000 283520000 567040000 1134080000