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1067697072 = 243313414637
BaseRepresentation
bin111111101000111…
…100001110110000
32202102001122001000
4333220330032300
54141312301242
6253540242000
735313163311
oct7750741660
92672048030
101067697072
114a8761682
122596a0300
13140280720
14a1b30608
1563b04a4c
hex3fa3c3b0

1067697072 has 160 divisors (see below), whose sum is σ = 3381658560. Its totient is φ = 320440320.

The previous prime is 1067697047. The next prime is 1067697079. The reversal of 1067697072 is 2707967601.

It is a super-2 number, since 2×10676970722 = 2279954075114746368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1067697079) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 227938 + ... + 232574.

It is an arithmetic number, because the mean of its divisors is an integer number (21135366).

Almost surely, 21067697072 is an apocalyptic number.

1067697072 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 1067697072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690829280).

1067697072 is an abundant number, since it is smaller than the sum of its proper divisors (2313961488).

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

1067697072 is a wasteful number, since it uses less digits than its factorization.

1067697072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 1067697072 is about 32675.6342249083. The cubic root of 1067697072 is about 1022.0748078610.

The spelling of 1067697072 in words is "one billion, sixty-seven million, six hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 41 48 52 54 72 78 82 104 108 117 123 144 156 164 208 216 234 246 312 328 351 369 432 468 492 533 624 656 702 738 936 984 1066 1107 1404 1476 1599 1872 1968 2132 2214 2808 2952 3198 4264 4428 4637 4797 5616 5904 6396 8528 8856 9274 9594 12792 13911 14391 17712 18548 19188 25584 27822 28782 37096 38376 41733 55644 57564 60281 74192 76752 83466 111288 115128 120562 125199 166932 180843 190117 222576 230256 241124 250398 333864 361686 380234 482248 500796 542529 570351 667728 723372 760468 964496 1001592 1085058 1140702 1446744 1520936 1627587 1711053 2003184 2170116 2281404 2471521 2893488 3041872 3255174 3422106 4340232 4562808 4943042 5133159 6510348 6844212 7414563 8680464 9125616 9886084 10266318 13020696 13688424 14829126 19772168 20532636 22243689 26041392 27376848 29658252 39544336 41065272 44487378 59316504 66731067 82130544 88974756 118633008 133462134 177949512 266924268 355899024 533848536 1067697072