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1075667664 = 24350944027
BaseRepresentation
bin100000000011101…
…0110001011010000
32202222001120122010
41000013112023100
54200332331124
6254423142520
735441011221
oct10007261320
92688046563
101075667664
11502206045
122602a4a40
13141b11656
14a2c07248
156467b529
hex401d62d0

1075667664 has 40 divisors (see below), whose sum is σ = 2784330720. Its totient is φ = 357843328.

The previous prime is 1075667651. The next prime is 1075667669. The reversal of 1075667664 is 4667665701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075667669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2419 + ... + 46445.

It is an arithmetic number, because the mean of its divisors is an integer number (69608268).

Almost surely, 21075667664 is an apocalyptic number.

It is an amenable number.

1075667664 is an abundant number, since it is smaller than the sum of its proper divisors (1708663056).

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

1075667664 is a wasteful number, since it uses less digits than its factorization.

1075667664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44547 (or 44541 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 1075667664 is about 32797.3728216148. The cubic root of 1075667664 is about 1024.6118423984.

The spelling of 1075667664 in words is "one billion, seventy-five million, six hundred sixty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 509 1018 1527 2036 3054 4072 6108 8144 12216 24432 44027 88054 132081 176108 264162 352216 528324 704432 1056648 2113296 22409743 44819486 67229229 89638972 134458458 179277944 268916916 358555888 537833832 1075667664