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1076161320 = 2332513229949
BaseRepresentation
bin100000000100100…
…1110101100101000
32202222222122210200
41000021032230220
54200444130240
6254441512200
735445135363
oct10011165450
92688878720
101076161320
11502512a23
122604a2660
13141c55260
14a2cd50da
1564727930
hex4024eb28

1076161320 has 96 divisors (see below), whose sum is σ = 3766581000. Its totient is φ = 264900096.

The previous prime is 1076161279. The next prime is 1076161403. The reversal of 1076161320 is 231616701.

1076161320 is a `hidden beast` number, since 10 + 7 + 616 + 1 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 545596164 + 530565156 = 23358^2 + 23034^2 .

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 23 ways as a sum of consecutive naturals, for example, 110295 + ... + 119654.

Almost surely, 21076161320 is an apocalyptic number.

1076161320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1076161320 is an abundant number, since it is smaller than the sum of its proper divisors (2690419680).

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

1076161320 is a wasteful number, since it uses less digits than its factorization.

1076161320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229979 (or 229972 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1076161320 is about 32804.8978050534. The cubic root of 1076161320 is about 1024.7685600799.

The spelling of 1076161320 in words is "one billion, seventy-six million, one hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 229949 459898 689847 919796 1149745 1379694 1839592 2069541 2299490 2759388 2989337 3449235 4139082 4598980 5518776 5978674 6898470 8278164 8968011 9197960 10347705 11957348 13796940 14946685 16556328 17936022 20695410 23914696 26904033 27593880 29893370 35872044 41390820 44840055 53808066 59786740 71744088 82781640 89680110 107616132 119573480 134520165 179360220 215232264 269040330 358720440 538080660 1076161320