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1120676067 = 34779127197
BaseRepresentation
bin100001011001100…
…0010100011100011
32220002202020120000
41002303002203203
54243343113232
6303111551043
736525406110
oct10263024343
92802666500
101120676067
11525657575
1227338b483
1314b23ca44
14a8ba1907
15685bc27c
hex42cc28e3

1120676067 has 80 divisors (see below), whose sum is σ = 1962639360. Its totient is φ = 624117312.

The previous prime is 1120676059. The next prime is 1120676077. The reversal of 1120676067 is 7606760211.

It is not a de Polignac number, because 1120676067 - 23 = 1120676059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1120676027) 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 79 ways as a sum of consecutive naturals, for example, 5688613 + ... + 5688809.

It is an arithmetic number, because the mean of its divisors is an integer number (24532992).

Almost surely, 21120676067 is an apocalyptic number.

1120676067 is a deficient number, since it is larger than the sum of its proper divisors (841963293).

1120676067 is a wasteful number, since it uses less digits than its factorization.

1120676067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1120676067 is about 33476.5002203038. The cubic root of 1120676067 is about 1038.7077351204.

The spelling of 1120676067 in words is "one billion, one hundred twenty million, six hundred seventy-six thousand, sixty-seven".

Divisors: 1 3 7 9 21 27 63 79 81 127 189 197 237 381 553 567 591 711 889 1143 1379 1659 1773 2133 2667 3429 4137 4977 5319 6399 8001 10033 10287 12411 14931 15563 15957 24003 25019 30099 37233 44793 46689 70231 72009 75057 90297 108941 111699 140067 175133 210693 225171 270891 326823 420201 525399 632079 675513 812673 980469 1260603 1576197 1896237 1976501 2026539 2941407 4728591 5688711 5929503 8824221 13835507 14185773 17788509 41506521 53365527 124519563 160096581 373558689 1120676067