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1066433424 = 24375875407
BaseRepresentation
bin111111100100000…
…111101110010000
32202022200102122020
4333210013232100
54141001332144
6253453211440
735266351230
oct7744075620
92668612566
101066433424
114a7a79241
12259190b80
1313cc2a4c4
14a18c1cc0
1563955419
hex3f907b90

1066433424 has 80 divisors (see below), whose sum is σ = 3154464768. Its totient is φ = 304119936.

The previous prime is 1066433413. The next prime is 1066433441. The reversal of 1066433424 is 4243346601.

It is a super-2 number, since 2×10664334242 = 2274560495648727552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194529 + ... + 199935.

Almost surely, 21066433424 is an apocalyptic number.

1066433424 is a gapful number since it is divisible by the number (14) 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 1066433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577232384).

1066433424 is an abundant number, since it is smaller than the sum of its proper divisors (2088031344).

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

1066433424 is a wasteful number, since it uses less digits than its factorization.

1066433424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 1066433424 is about 32656.2922573889. The cubic root of 1066433424 is about 1021.6714310727.

The spelling of 1066433424 in words is "one billion, sixty-six million, four hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 587 1174 1761 2348 3522 4109 4696 5407 7044 8218 9392 10814 12327 14088 16221 16436 21628 24654 28176 32442 32872 37849 43256 49308 64884 65744 75698 86512 98616 113547 129768 151396 197232 227094 259536 302792 454188 605584 908376 1816752 3173909 6347818 9521727 12695636 19043454 22217363 25391272 38086908 44434726 50782544 66652089 76173816 88869452 133304178 152347632 177738904 266608356 355477808 533216712 1066433424