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1066424100 = 223527507821
BaseRepresentation
bin111111100100000…
…101011100100100
32202022122221211220
4333210011130210
54141001032400
6253453100340
735266312110
oct7744053444
92668587756
101066424100
114a7a72235
122591876b0
1313cc261a1
14a18bc740
15639527a0
hex3f905724

1066424100 has 72 divisors (see below), whose sum is σ = 3526315968. Its totient is φ = 243753600.

The previous prime is 1066424083. The next prime is 1066424113. The reversal of 1066424100 is 14246601.

1066424100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10664241002 = 2274520722121620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251811 + ... + 256010.

Almost surely, 21066424100 is an apocalyptic number.

1066424100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066424100 is an abundant number, since it is smaller than the sum of its proper divisors (2459891868).

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

1066424100 is a wasteful number, since it uses less digits than its factorization.

1066424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507845 (or 507838 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1066424100 is about 32656.1494974530. The cubic root of 1066424100 is about 1021.6684535178.

The spelling of 1066424100 in words is "one billion, sixty-six million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 507821 1015642 1523463 2031284 2539105 3046926 3554747 5078210 6093852 7109494 7617315 10156420 10664241 12695525 14218988 15234630 17773735 21328482 25391050 30469260 35547470 38086575 42656964 50782100 53321205 71094940 76173150 88868675 106642410 152346300 177737350 213284820 266606025 355474700 533212050 1066424100