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1064543040 = 263351123487
BaseRepresentation
bin111111011100111…
…010001101000000
32202012010101112000
4333130322031000
54140010334130
6253344504000
735244316011
oct7734721500
92665111460
101064543040
114a69a7a40
1225861b000
1313c717c32
14a154d008
15636d0260
hex3f73a340

1064543040 has 448 divisors, whose sum is σ = 4283781120. Its totient is φ = 246343680.

The previous prime is 1064542981. The next prime is 1064543041. The reversal of 1064543040 is 403454601.

1064543040 is a `hidden beast` number, since 10 + 645 + 4 + 3 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×10645430402 = 2266503768024883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1064542995 and 1064543013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064543041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2185677 + ... + 2186163.

Almost surely, 21064543040 is an apocalyptic number.

1064543040 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 1064543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141890560).

1064543040 is an abundant number, since it is smaller than the sum of its proper divisors (3219238080).

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

1064543040 is a wasteful number, since it uses less digits than its factorization.

1064543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1064543040 is about 32627.3357784542. The cubic root of 1064543040 is about 1021.0673947294.

Adding to 1064543040 its reverse (403454601), we get a palindrome (1467997641).

The spelling of 1064543040 in words is "one billion, sixty-four million, five hundred forty-three thousand, forty".