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1132197696 = 2633793601
BaseRepresentation
bin100001101111011…
…1111011101000000
32220220102121021000
41003132333131000
54304320311241
6304202532000
740025343630
oct10336773500
92826377230
101132197696
11531106983
12277207000
13150745086
14aa5206c0
15695e5eb6
hex437bf740

1132197696 has 112 divisors (see below), whose sum is σ = 3803985280. Its totient is φ = 323481600.

The previous prime is 1132197683. The next prime is 1132197719. The reversal of 1132197696 is 6967912311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34705 + ... + 58896.

Almost surely, 21132197696 is an apocalyptic number.

1132197696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1132197696 is an abundant number, since it is smaller than the sum of its proper divisors (2671787584).

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

1132197696 is an equidigital number, since it uses as much as digits as its factorization.

1132197696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93629 (or 93613 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 1132197696 is about 33648.1455061048. The cubic root of 1132197696 is about 1042.2552440266.

The spelling of 1132197696 in words is "one billion, one hundred thirty-two million, one hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 93601 187202 280803 374404 561606 655207 748808 842409 1123212 1310414 1497616 1684818 1965621 2246424 2527227 2620828 2995232 3369636 3931242 4492848 5054454 5241656 5896863 5990464 6739272 7862484 8985696 10108908 10483312 11793726 13478544 15724968 17690589 17971392 20217816 20966624 23587452 26957088 31449936 35381178 40435632 41933248 47174904 53914176 62899872 70762356 80871264 94349808 125799744 141524712 161742528 188699616 283049424 377399232 566098848 1132197696