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1065143424 = 27311324547
BaseRepresentation
bin111111011111001…
…100110010000000
32202020020220002110
4333133030302000
54140134042144
6253405415320
735252366262
oct7737146200
92666226073
101065143424
114a7278024
1225886a540
1313c8982a7
14a1667b32
156379d0b9
hex3f7ccc80

1065143424 has 64 divisors (see below), whose sum is σ = 2854441440. Its totient is φ = 351891456.

The previous prime is 1065143371. The next prime is 1065143459. The reversal of 1065143424 is 4243415601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10651434242 = 2269061027380887552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1065143391 and 1065143400.

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, 31119 + ... + 55665.

Almost surely, 21065143424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427220720).

1065143424 is an abundant number, since it is smaller than the sum of its proper divisors (1789298016).

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

1065143424 is a wasteful number, since it uses less digits than its factorization.

1065143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24677 (or 24665 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1065143424 is about 32636.5351102105. The cubic root of 1065143424 is about 1021.2593134818.

The spelling of 1065143424 in words is "one billion, sixty-five million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 678 904 1356 1808 2712 3616 5424 7232 10848 14464 21696 24547 43392 49094 73641 98188 147282 196376 294564 392752 589128 785504 1178256 1571008 2356512 2773811 3142016 4713024 5547622 8321433 9426048 11095244 16642866 22190488 33285732 44380976 66571464 88761952 133142928 177523904 266285856 355047808 532571712 1065143424