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1059968 = 2772132
BaseRepresentation
bin100000010110010000000
31222212000002
410002302000
5232404333
634415132
712003200
oct4026200
91885002
101059968
11664408
124314a8
132b1600
141d8400
1515e0e8
hex102c80

1059968 has 72 divisors (see below), whose sum is σ = 2659905. Its totient is φ = 419328.

The previous prime is 1059941. The next prime is 1060009. The reversal of 1059968 is 8699501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 906304 + 153664 = 952^2 + 392^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=728.

It is a super-2 number, since 2×10599682 = 2247064322048, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81530 + ... + 81542.

21059968 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 1059968

1059968 is an abundant number, since it is smaller than the sum of its proper divisors (1599937).

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

1059968 is an equidigital number, since it uses as much as digits as its factorization.

1059968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 1059968 is about 1029.5474734076. The cubic root of 1059968 is about 101.9602562064.

The spelling of 1059968 in words is "one million, fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 169 182 196 208 224 338 364 392 416 448 637 676 728 784 832 896 1183 1274 1352 1456 1568 1664 2366 2548 2704 2912 3136 4732 5096 5408 5824 6272 8281 9464 10192 10816 11648 16562 18928 20384 21632 33124 37856 40768 66248 75712 81536 132496 151424 264992 529984 1059968