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1130275328 = 29713171427
BaseRepresentation
bin100001101011110…
…1010001000000000
32220202210221021012
41003113222020000
54303322302303
6304053420052
740003116230
oct10327521000
92822727235
101130275328
11530013646
1227663a628
13150221090
14aa17dcc0
15693665d8
hex435ea200

1130275328 has 160 divisors (see below), whose sum is σ = 2945061504. Its totient is φ = 420544512.

The previous prime is 1130275219. The next prime is 1130275337. The reversal of 1130275328 is 8235720311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1130275294 and 1130275303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791351 + ... + 792777.

Almost surely, 21130275328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130275328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472530752).

1130275328 is an abundant number, since it is smaller than the sum of its proper divisors (1814786176).

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

1130275328 is a wasteful number, since it uses less digits than its factorization.

1130275328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1130275328 is about 33619.5676355304. The cubic root of 1130275328 is about 1041.6650252035.

Adding to 1130275328 its reverse (8235720311), we get a palindrome (9365995639).

The spelling of 1130275328 in words is "one billion, one hundred thirty million, two hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 256 272 364 416 442 448 476 512 544 728 832 884 896 952 1088 1427 1456 1547 1664 1768 1792 1904 2176 2854 2912 3094 3328 3536 3584 3808 4352 5708 5824 6188 6656 7072 7616 8704 9989 11416 11648 12376 14144 15232 18551 19978 22832 23296 24259 24752 28288 30464 37102 39956 45664 46592 48518 49504 56576 60928 74204 79912 91328 97036 99008 113152 129857 148408 159824 169813 182656 194072 198016 259714 296816 315367 319648 339626 365312 388144 396032 519428 593632 630734 639296 679252 730624 776288 792064 1038856 1187264 1261468 1278592 1358504 1552576 2077712 2207569 2374528 2522936 2557184 2717008 3105152 4155424 4415138 4749056 5045872 5114368 5434016 6210304 8310848 8830276 9498112 10091744 10868032 12420608 16621696 17660552 20183488 21736064 33243392 35321104 40366976 43472128 66486784 70642208 80733952 86944256 141284416 161467904 282568832 565137664 1130275328