Search a number
-
+
1330282560 = 26359671433
BaseRepresentation
bin100111101001010…
…1000000001000000
310102201011100121110
41033102220001000
510211023020220
6340000323320
744652133545
oct11722500100
93381140543
101330282560
11622a00a82
12311613540
131827ab759
14c8964bcc
157bbc2be0
hex4f4a8040

1330282560 has 112 divisors (see below), whose sum is σ = 4230965376. Its totient is φ = 354127872.

The previous prime is 1330282559. The next prime is 1330282567. The reversal of 1330282560 is 652820331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1330282567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927604 + ... + 929036.

Almost surely, 21330282560 is an apocalyptic number.

1330282560 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 1330282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115482688).

1330282560 is an abundant number, since it is smaller than the sum of its proper divisors (2900682816).

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

1330282560 is a wasteful number, since it uses less digits than its factorization.

1330282560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1330282560 is about 36473.0388095097. The cubic root of 1330282560 is about 1099.8023226049.

The spelling of 1330282560 in words is "one billion, three hundred thirty million, two hundred eighty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 967 1433 1934 2866 2901 3868 4299 4835 5732 5802 7165 7736 8598 9670 11464 11604 14330 14505 15472 17196 19340 21495 22928 23208 28660 29010 30944 34392 38680 42990 45856 46416 57320 58020 61888 68784 77360 85980 91712 92832 114640 116040 137568 154720 171960 185664 229280 232080 275136 309440 343920 458560 464160 687840 928320 1375680 1385711 2771422 4157133 5542844 6928555 8314266 11085688 13857110 16628532 20785665 22171376 27714220 33257064 41571330 44342752 55428440 66514128 83142660 88685504 110856880 133028256 166285320 221713760 266056512 332570640 443427520 665141280 1330282560