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1155116340 = 2232571753927
BaseRepresentation
bin100010011011001…
…1010110100110100
32222111112222201200
41010312122310310
54331202210330
6310342052500
740424220060
oct10466326464
92874488650
101155116340
11543040004
12282a1a130
1315540aac1
14ad5a8aa0
156b621a60
hex44d9ad34

1155116340 has 144 divisors (see below), whose sum is σ = 4240035072. Its totient is φ = 248491008.

The previous prime is 1155116311. The next prime is 1155116351. The reversal of 1155116340 is 436115511.

1155116340 is a `hidden beast` number, since 1 + 15 + 5 + 11 + 634 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5544 + ... + 48383.

It is an arithmetic number, because the mean of its divisors is an integer number (29444688).

Almost surely, 21155116340 is an apocalyptic number.

1155116340 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 1155116340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120017536).

1155116340 is an abundant number, since it is smaller than the sum of its proper divisors (3084918732).

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

1155116340 is a wasteful number, since it uses less digits than its factorization.

1155116340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53966 (or 53961 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1155116340 is about 33987.0025156677. The cubic root of 1155116340 is about 1049.2409752574.

The spelling of 1155116340 in words is "one billion, one hundred fifty-five million, one hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 53927 107854 161781 215708 269635 323562 377489 485343 539270 647124 754978 808905 916759 970686 1078540 1132467 1509956 1617810 1833518 1887445 1941372 2264934 2426715 2750277 3235620 3397401 3667036 3774890 4529868 4583795 4853430 5500554 5662335 6417313 6794802 7549780 8250831 9167590 9706860 11001108 11324670 12834626 13589604 13751385 16501662 16987005 18335180 19251939 22649340 25669252 27502770 32086565 33003324 33974010 38503878 41254155 55005540 57755817 64173130 67948020 77007756 82508310 96259695 115511634 128346260 165016620 192519390 231023268 288779085 385038780 577558170 1155116340