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1066835040 = 25352222573
BaseRepresentation
bin111111100101101…
…001110001100000
32202100102211112220
4333211221301200
54141102210130
6253505551040
735302643145
oct7745516140
92670384486
101066835040
114a8222a57
12259345480
1314003b24b
14a19883cc
15639d4410
hex3f969c60

1066835040 has 48 divisors (see below), whose sum is σ = 3360531888. Its totient is φ = 284489216.

The previous prime is 1066834981. The next prime is 1066835101. The reversal of 1066835040 is 405386601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10668350402 = 2276274005143603200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1066834992 and 1066835010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1110807 + ... + 1111766.

It is an arithmetic number, because the mean of its divisors is an integer number (70011081).

Almost surely, 21066835040 is an apocalyptic number.

1066835040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066835040 is an abundant number, since it is smaller than the sum of its proper divisors (2293696848).

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

1066835040 is a wasteful number, since it uses less digits than its factorization.

1066835040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222591 (or 2222583 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1066835040 is about 32662.4408151014. The cubic root of 1066835040 is about 1021.7996678936.

The spelling of 1066835040 in words is "one billion, sixty-six million, eight hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2222573 4445146 6667719 8890292 11112865 13335438 17780584 22225730 26670876 33338595 35561168 44451460 53341752 66677190 71122336 88902920 106683504 133354380 177805840 213367008 266708760 355611680 533417520 1066835040