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1064013732 = 22343283993
BaseRepresentation
bin111111011010111…
…000111110100100
32202011010111110000
4333122320332210
54134341414412
6253325301300
735236652565
oct7732707644
92664114400
101064013732
114a66762a1
12258404830
1313c591032
14a145216c
15636284dc
hex3f6b8fa4

1064013732 has 30 divisors (see below), whose sum is σ = 2781542918. Its totient is φ = 354671136.

The previous prime is 1064013719. The next prime is 1064013751. The reversal of 1064013732 is 2373104601.

1064013732 is a `hidden beast` number, since 1 + 0 + 640 + 13 + 7 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1059111936 + 4901796 = 32544^2 + 2214^2 .

It is a super-2 number, since 2×10640137322 = 2264250443769135648, 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 = 1064013696 and 1064013705.

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 9 ways as a sum of consecutive naturals, for example, 1641673 + ... + 1642320.

Almost surely, 21064013732 is an apocalyptic number.

1064013732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1064013732 is an abundant number, since it is smaller than the sum of its proper divisors (1717529186).

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

1064013732 is a wasteful number, since it uses less digits than its factorization.

1064013732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284009 (or 3283998 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1064013732 is about 32619.2233506563. The cubic root of 1064013732 is about 1020.8981362714.

The spelling of 1064013732 in words is "one billion, sixty-four million, thirteen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 3283993 6567986 9851979 13135972 19703958 29555937 39407916 59111874 88667811 118223748 177335622 266003433 354671244 532006866 1064013732