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1117592320 = 28513471429
BaseRepresentation
bin100001010011101…
…0001101100000000
32212212221120110011
41002213101230000
54242100423240
6302521514304
736460243435
oct10247215400
92785846404
101117592320
11523940719
12272342994
1314a700240
14a85dbb8c
15681ad6ea
hex429d1b00

1117592320 has 144 divisors (see below), whose sum is σ = 2946303360. Its totient is φ = 403587072.

The previous prime is 1117592303. The next prime is 1117592323. The reversal of 1117592320 is 232957111.

1117592320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1117592323) by changing a digit.

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, 781366 + ... + 782794.

It is an arithmetic number, because the mean of its divisors is an integer number (20460440).

Almost surely, 21117592320 is an apocalyptic number.

1117592320 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 1117592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473151680).

1117592320 is an abundant number, since it is smaller than the sum of its proper divisors (1828711040).

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

1117592320 is a wasteful number, since it uses less digits than its factorization.

1117592320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 1117592320 is about 33430.4101081635. The cubic root of 1117592320 is about 1037.7541279064.

The spelling of 1117592320 in words is "one billion, one hundred seventeen million, five hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 47 52 64 65 80 94 104 128 130 160 188 208 235 256 260 320 376 416 470 520 611 640 752 832 940 1040 1222 1280 1429 1504 1664 1880 2080 2444 2858 3008 3055 3328 3760 4160 4888 5716 6016 6110 7145 7520 8320 9776 11432 12032 12220 14290 15040 16640 18577 19552 22864 24440 28580 30080 37154 39104 45728 48880 57160 60160 67163 74308 78208 91456 92885 97760 114320 134326 148616 156416 182912 185770 195520 228640 268652 297232 335815 365824 371540 391040 457280 537304 594464 671630 743080 782080 873119 914560 1074608 1188928 1343260 1486160 1746238 1829120 2149216 2377856 2686520 2972320 3492476 4298432 4365595 4755712 5373040 5944640 6984952 8596864 8731190 10746080 11889280 13969904 17193728 17462380 21492160 23778560 27939808 34924760 42984320 55879616 69849520 85968640 111759232 139699040 223518464 279398080 558796160 1117592320