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1130715560 = 2351317373457
BaseRepresentation
bin100001101100101…
…0101100110101000
32220210122022011002
41003121111212220
54303430344220
6304111054132
740006631552
oct10331254650
92823568132
101130715560
11530294377
12276811348
13150346580
14aa2564d2
1569401c75
hex436559a8

1130715560 has 128 divisors (see below), whose sum is σ = 2980242720. Its totient is φ = 382205952.

The previous prime is 1130715559. The next prime is 1130715571. The reversal of 1130715560 is 655170311.

It can be written as a sum of positive squares in 16 ways, for example, as 32058244 + 1098657316 = 5662^2 + 33146^2 .

It is a super-2 number, since 2×11307155602 = 2557035355252227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325352 + ... + 328808.

Almost surely, 21130715560 is an apocalyptic number.

1130715560 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 1130715560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490121360).

1130715560 is an abundant number, since it is smaller than the sum of its proper divisors (1849527160).

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

1130715560 is a wasteful number, since it uses less digits than its factorization.

1130715560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 1130715560 is about 33626.1142566310. The cubic root of 1130715560 is about 1041.8002473457.

Adding to 1130715560 its reverse (655170311), we get a palindrome (1785885871).

Subtracting from 1130715560 its reverse (655170311), we obtain a square (475545249 = 218072).

The spelling of 1130715560 in words is "one billion, one hundred thirty million, seven hundred fifteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 37 40 52 65 68 74 85 104 130 136 148 170 185 221 260 296 340 370 442 481 520 629 680 740 884 962 1105 1258 1480 1768 1924 2210 2405 2516 3145 3457 3848 4420 4810 5032 6290 6914 8177 8840 9620 12580 13828 16354 17285 19240 25160 27656 32708 34570 40885 44941 58769 65416 69140 81770 89882 117538 127909 138280 163540 179764 224705 235076 255818 293845 327080 359528 449410 470152 511636 587690 639545 763997 898820 1023272 1175380 1279090 1527994 1662817 1797640 2174453 2350760 2558180 3055988 3325634 3819985 4348906 5116360 6111976 6651268 7639970 8314085 8697812 10872265 13302536 15279940 16628170 17395624 21744530 28267889 30559880 33256340 43489060 56535778 66512680 86978120 113071556 141339445 226143112 282678890 565357780 1130715560