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1068730146 = 2331131127457
BaseRepresentation
bin111111101100111…
…000011100100010
32202111000010011000
4333230320130202
54142043331041
6254014332430
735325025221
oct7754703442
92674003130
101068730146
114a92a7860
12259aba116
13140552a03
14a1d1ccb8
1563c5abb6
hex3fb38722

1068730146 has 128 divisors (see below), whose sum is σ = 2701393920. Its totient is φ = 310262400.

The previous prime is 1068730129. The next prime is 1068730151. The reversal of 1068730146 is 6410378601.

It is a super-2 number, since 2×10687301462 = 2284368249938362632, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1068730146.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2338350 + ... + 2338806.

It is an arithmetic number, because the mean of its divisors is an integer number (21104640).

Almost surely, 21068730146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068730146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350696960).

1068730146 is an abundant number, since it is smaller than the sum of its proper divisors (1632663774).

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

1068730146 is a wasteful number, since it uses less digits than its factorization.

1068730146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1068730146 is about 32691.4384204795. The cubic root of 1068730146 is about 1022.4043453220.

The spelling of 1068730146 in words is "one billion, sixty-eight million, seven hundred thirty thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 127 186 198 254 279 297 341 381 457 558 594 682 762 837 914 1023 1143 1371 1397 1674 2046 2286 2742 2794 3069 3429 3937 4113 4191 5027 6138 6858 7874 8226 8382 9207 10054 11811 12339 12573 14167 15081 18414 23622 24678 25146 28334 30162 35433 37719 42501 43307 45243 58039 70866 75438 85002 86614 90486 106299 116078 127503 129921 135729 155837 174117 212598 255006 259842 271458 311674 348234 382509 389763 467511 522351 638429 765018 779526 935022 1044702 1169289 1276858 1402533 1567053 1799209 1915287 2338578 2805066 3134106 3598418 3830574 4207599 5397627 5745861 8415198 10795254 11491722 16192881 17237583 19791299 32385762 34475166 39582598 48578643 59373897 97157286 118747794 178121691 356243382 534365073 1068730146