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1076684112 = 243271636553
BaseRepresentation
bin100000000101100…
…1110010101010000
32210000222012221100
41000023032111100
54201112342422
6254501024400
735452443510
oct10013162520
92700865840
101076684112
1150283a789
122606b5100
131420a91ba
14a2dcd840
15647cc7ac
hex402ce550

1076684112 has 120 divisors (see below), whose sum is σ = 3465335744. Its totient is φ = 305690112.

The previous prime is 1076684107. The next prime is 1076684113. The reversal of 1076684112 is 2114866701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076684113) 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 23 ways as a sum of consecutive naturals, for example, 161028 + ... + 167580.

Almost surely, 21076684112 is an apocalyptic number.

1076684112 is a gapful number since it is divisible by the number (12) 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 1076684112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732667872).

1076684112 is an abundant number, since it is smaller than the sum of its proper divisors (2388651632).

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

1076684112 is a wasteful number, since it uses less digits than its factorization.

1076684112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1076684112 is about 32812.8650379695. The cubic root of 1076684112 is about 1024.9344751292.

The spelling of 1076684112 in words is "one billion, seventy-six million, six hundred eighty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 163 168 252 326 336 489 504 652 978 1008 1141 1304 1467 1956 2282 2608 2934 3423 3912 4564 5868 6553 6846 7824 9128 10269 11736 13106 13692 18256 19659 20538 23472 26212 27384 39318 41076 45871 52424 54768 58977 78636 82152 91742 104848 117954 137613 157272 164304 183484 235908 275226 314544 366968 412839 471816 550452 733936 825678 943632 1068139 1100904 1651356 2136278 2201808 3204417 3302712 4272556 6408834 6605424 7476973 8545112 9613251 12817668 14953946 17090224 19226502 22430919 25635336 29907892 38453004 44861838 51270672 59815784 67292757 76906008 89723676 119631568 134585514 153812016 179447352 269171028 358894704 538342056 1076684112