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1130161560 = 2335113112753
BaseRepresentation
bin100001101011100…
…1110010110011000
32220202121011012120
41003113032112120
54303310132220
6304051141240
740002133443
oct10327162630
92822534176
101130161560
1152aa46120
122765a4820
131501b1368
14aa15065a
1569342a40
hex435ce598

1130161560 has 128 divisors (see below), whose sum is σ = 3711951360. Its totient is φ = 272998400.

The previous prime is 1130161541. The next prime is 1130161567. The reversal of 1130161560 is 651610311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1130161560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130161567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409144 + ... + 411896.

It is an arithmetic number, because the mean of its divisors is an integer number (28999620).

Almost surely, 21130161560 is an apocalyptic number.

1130161560 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 1130161560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855975680).

1130161560 is an abundant number, since it is smaller than the sum of its proper divisors (2581789800).

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

1130161560 is a wasteful number, since it uses less digits than its factorization.

1130161560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1130161560 is about 33617.8756021257. The cubic root of 1130161560 is about 1041.6300743910.

Adding to 1130161560 its reverse (651610311), we get a palindrome (1781771871).

The spelling of 1130161560 in words is "one billion, one hundred thirty million, one hundred sixty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 311 330 440 622 660 933 1244 1320 1555 1866 2488 2753 3110 3421 3732 4665 5506 6220 6842 7464 8259 9330 10263 11012 12440 13684 13765 16518 17105 18660 20526 22024 27368 27530 30283 33036 34210 37320 41052 41295 51315 55060 60566 66072 68420 82104 82590 90849 102630 110120 121132 136840 151415 165180 181698 205260 242264 302830 330360 363396 410520 454245 605660 726792 856183 908490 1211320 1712366 1816980 2568549 3424732 3633960 4280915 5137098 6849464 8561830 9418013 10274196 12842745 17123660 18836026 20548392 25685490 28254039 34247320 37672052 47090065 51370980 56508078 75344104 94180130 102741960 113016156 141270195 188360260 226032312 282540390 376720520 565080780 1130161560