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1134103040 = 295729041
BaseRepresentation
bin100001110011001…
…0000101000000000
32221001000101220022
41003212100220000
54310312244130
6304311433012
740050500600
oct10346205000
92831011808
101134103040
11532198444
12277985768
13150c613b5
14aa898c00
15698707e5
hex43990a00

1134103040 has 120 divisors (see below), whose sum is σ = 3163488372. Its totient is φ = 388792320.

The previous prime is 1134103001. The next prime is 1134103073. The reversal of 1134103040 is 403014311.

It can be written as a sum of positive squares in 2 ways, for example, as 1047687424 + 86415616 = 32368^2 + 9296^2 .

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, 120920 + ... + 129960.

Almost surely, 21134103040 is an apocalyptic number.

1134103040 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 1134103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581744186).

1134103040 is an abundant number, since it is smaller than the sum of its proper divisors (2029385332).

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

1134103040 is an frugal number, since it uses more digits than its factorization.

1134103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9078 (or 9055 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1134103040 is about 33676.4463683447. The cubic root of 1134103040 is about 1042.8395771465.

Adding to 1134103040 its reverse (403014311), we get a palindrome (1537117351).

The spelling of 1134103040 in words is "one billion, one hundred thirty-four million, one hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1120 1280 1568 1792 1960 2240 2560 3136 3584 3920 4480 6272 7840 8960 9041 12544 15680 17920 18082 25088 31360 36164 45205 62720 63287 72328 90410 125440 126574 144656 180820 253148 289312 316435 361640 443009 506296 578624 632870 723280 886018 1012592 1157248 1265740 1446560 1772036 2025184 2215045 2314496 2531480 2893120 3544072 4050368 4430090 4628992 5062960 5786240 7088144 8100736 8860180 10125920 11572480 14176288 16201472 17720360 20251840 23144960 28352576 32402944 35440720 40503680 56705152 70881440 81007360 113410304 141762880 162014720 226820608 283525760 567051520 1134103040