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1056110000 = 2454119601
BaseRepresentation
bin111110111100101…
…111010110110000
32201121020221120012
4332330233112300
54130331010000
6252444034052
735112533621
oct7674572660
92647227505
101056110000
114a2168090
12255832928
1313aa5467a
14a0395a48
1562ab6735
hex3ef2f5b0

1056110000 has 100 divisors (see below), whose sum is σ = 2789688264. Its totient is φ = 384000000.

The previous prime is 1056109997. The next prime is 1056110051. The reversal of 1056110000 is 116501.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×10561100002 = 2230736664200000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105200 + ... + 114800.

Almost surely, 21056110000 is an apocalyptic number.

1056110000 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 1056110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394844132).

1056110000 is an abundant number, since it is smaller than the sum of its proper divisors (1733578264).

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

1056110000 is an equidigital number, since it uses as much as digits as its factorization.

1056110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9640 (or 9619 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 1056110000 is about 32497.8460824714. The cubic root of 1056110000 is about 1018.3640313387.

Adding to 1056110000 its reverse (116501), we get a palindrome (1056226501).

The spelling of 1056110000 in words is "one billion, fifty-six million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 9601 10000 11000 13750 19202 22000 27500 38404 48005 55000 76808 96010 105611 110000 153616 192020 211222 240025 384040 422444 480050 528055 768080 844888 960100 1056110 1200125 1689776 1920200 2112220 2400250 2640275 3840400 4224440 4800500 5280550 6000625 8448880 9601000 10561100 12001250 13201375 19202000 21122200 24002500 26402750 42244400 48005000 52805500 66006875 96010000 105611000 132013750 211222000 264027500 528055000 1056110000