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1072066941 = 33115476599
BaseRepresentation
bin111111111001100…
…111000101111101
32202201021122101000
4333321213011331
54143422120231
6254214040513
735365263411
oct7771470575
92681248330
101072066941
11500176840
1225b049139
1314115074a
14a254ad41
15641b96e6
hex3fe6717d

1072066941 has 32 divisors (see below), whose sum is σ = 1736064000. Its totient is φ = 648451440.

The previous prime is 1072066939. The next prime is 1072066949. The reversal of 1072066941 is 1496602701.

It is not a de Polignac number, because 1072066941 - 21 = 1072066939 is a prime.

It is a super-2 number, since 2×10720669412 = 2298655051970194962, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1072066896 and 1072066905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072066949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159160 + ... + 165758.

It is an arithmetic number, because the mean of its divisors is an integer number (54252000).

Almost surely, 21072066941 is an apocalyptic number.

1072066941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1072066941 is a deficient number, since it is larger than the sum of its proper divisors (663997059).

1072066941 is a wasteful number, since it uses less digits than its factorization.

1072066941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7166 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1072066941 is about 32742.4333396283. The cubic root of 1072066941 is about 1023.4672919545.

The spelling of 1072066941 in words is "one billion, seventy-two million, sixty-six thousand, nine hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 547 1641 4923 6017 6599 14769 18051 19797 54153 59391 72589 162459 178173 217767 653301 1959903 3609653 10828959 32486877 39706183 97460631 119118549 357355647 1072066941