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1056640 = 27513127
BaseRepresentation
bin100000001111110000000
31222200102211
410001332000
5232303030
634351504
711660404
oct4017600
91880384
101056640
11661962
1242b594
132acc40
141d7104
1515d12a
hex101f80

1056640 has 64 divisors (see below), whose sum is σ = 2741760. Its totient is φ = 387072.

The previous prime is 1056623. The next prime is 1056641. The reversal of 1056640 is 466501.

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

It is a super-2 number, since 2×10566402 = 2232976179200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8257 + ... + 8383.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

21056640 is an apocalyptic number.

1056640 is a gapful number since it is divisible by the number (10) 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 1056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370880).

1056640 is an abundant number, since it is smaller than the sum of its proper divisors (1685120).

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

1056640 is a wasteful number, since it uses less digits than its factorization.

1056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1056640 is about 1027.9299587034. The cubic root of 1056640 is about 101.8534355350.

The spelling of 1056640 in words is "one million, fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 127 128 130 160 208 254 260 320 416 508 520 635 640 832 1016 1040 1270 1651 1664 2032 2080 2540 3302 4064 4160 5080 6604 8128 8255 8320 10160 13208 16256 16510 20320 26416 33020 40640 52832 66040 81280 105664 132080 211328 264160 528320 1056640