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1130339840 = 295729011
BaseRepresentation
bin100001101011111…
…1001111000000000
32220202221012202112
41003113321320000
54303331333330
6304055034452
740003505300
oct10327717000
92822835675
101130339840
11530058063
1227666ba28
13150244556
14aa199600
156937a795
hex435f9e00

1130339840 has 120 divisors (see below), whose sum is σ = 3152992392. Its totient is φ = 387502080.

The previous prime is 1130339831. The next prime is 1130339891. The reversal of 1130339840 is 489330311.

It is a happy number.

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 = 1130339797 and 1130339806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120935 + ... + 129945.

Almost surely, 21130339840 is an apocalyptic number.

1130339840 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 1130339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576496196).

1130339840 is an abundant number, since it is smaller than the sum of its proper divisors (2022652552).

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

1130339840 is an frugal number, since it uses more digits than its factorization.

1130339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9048 (or 9025 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 1130339840 is about 33620.5270630905. The cubic root of 1130339840 is about 1041.6848429753.

The spelling of 1130339840 in words is "one billion, one hundred thirty million, three hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1120 1280 1568 1792 1960 2240 2560 3136 3584 3920 4480 6272 7840 8960 9011 12544 15680 17920 18022 25088 31360 36044 45055 62720 63077 72088 90110 125440 126154 144176 180220 252308 288352 315385 360440 441539 504616 576704 630770 720880 883078 1009232 1153408 1261540 1441760 1766156 2018464 2207695 2306816 2523080 2883520 3532312 4036928 4415390 4613632 5046160 5767040 7064624 8073856 8830780 10092320 11534080 14129248 16147712 17661560 20184640 23068160 28258496 32295424 35323120 40369280 56516992 70646240 80738560 113033984 141292480 161477120 226067968 282584960 565169920 1130339840