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1139088960 = 26335131839
BaseRepresentation
bin100001111100101…
…0001111001000000
32221101101201022000
41003321101321000
54313101321320
6305010344000
740141045032
oct10371217100
92841351260
101139088960
11534a93439
1227958b000
13151cb8949
14ab3d5c52
156a007c90
hex43e51e40

1139088960 has 112 divisors (see below), whose sum is σ = 4018483200. Its totient is φ = 303754752.

The previous prime is 1139088943. The next prime is 1139088967. The reversal of 1139088960 is 698809311.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1139088967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57280 + ... + 74559.

Almost surely, 21139088960 is an apocalyptic number.

1139088960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1139088960 is an abundant number, since it is smaller than the sum of its proper divisors (2879394240).

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

1139088960 is a wasteful number, since it uses less digits than its factorization.

1139088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131865 (or 131849 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1139088960 is about 33750.3919977235. The cubic root of 1139088960 is about 1044.3655741795.

The spelling of 1139088960 in words is "one billion, one hundred thirty-nine million, eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 131839 263678 395517 527356 659195 791034 1054712 1186551 1318390 1582068 1977585 2109424 2373102 2636780 3164136 3559653 3955170 4218848 4746204 5273560 5932755 6328272 7119306 7910340 8437696 9492408 10547120 11865510 12656544 14238612 15820680 17798265 18984816 21094240 23731020 25313088 28477224 31641360 35596530 37969632 42188480 47462040 56954448 63282720 71193060 75939264 94924080 113908896 126565440 142386120 189848160 227817792 284772240 379696320 569544480 1139088960