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1056065000 = 2354211213
BaseRepresentation
bin111110111100100…
…100010111101000
32201121011122211112
4332330210113220
54130323040000
6252443045452
735112255464
oct7674442750
92647148745
101056065000
114a21372a1
12255810888
1313aa3a043
14a03834a4
1562aa8235
hex3ef245e8

1056065000 has 40 divisors (see below), whose sum is σ = 2474372010. Its totient is φ = 422424000.

The previous prime is 1056064991. The next prime is 1056065009. The reversal of 1056065000 is 5606501.

It is an interprime number because it is at equal distance from previous prime (1056064991) and next prime (1056065009).

It can be written as a sum of positive squares in 5 ways, for example, as 54848836 + 1001216164 = 7406^2 + 31642^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10560650002 = 2230546568450000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056065009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 100607 + ... + 110606.

Almost surely, 21056065000 is an apocalyptic number.

1056065000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056065000 is an abundant number, since it is smaller than the sum of its proper divisors (1418307010).

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

1056065000 is an equidigital number, since it uses as much as digits as its factorization.

1056065000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211239 (or 211220 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1056065000 is about 32497.1537215184. The cubic root of 1056065000 is about 1018.3495672418.

The spelling of 1056065000 in words is "one billion, fifty-six million, sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 211213 422426 844852 1056065 1689704 2112130 4224260 5280325 8448520 10560650 21121300 26401625 42242600 52803250 105606500 132008125 211213000 264016250 528032500 1056065000