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1084537664 = 2672718933
BaseRepresentation
bin100000010100100…
…1011101101000000
32210120202012222122
41000221023231000
54210120201124
6255341223412
735606263250
oct10051135500
92716665878
101084537664
11507214221
12263261b68
131438c8a82
14a4075960
156532e75e
hex40a4bb40

1084537664 has 56 divisors (see below), whose sum is σ = 2468928768. Its totient is φ = 463034880.

The previous prime is 1084537639. The next prime is 1084537669. The reversal of 1084537664 is 4667354801.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084537669) 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, 116942 + ... + 125874.

Almost surely, 21084537664 is an apocalyptic number.

1084537664 is a gapful number since it is divisible by the number (14) 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 1084537664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234464384).

1084537664 is an abundant number, since it is smaller than the sum of its proper divisors (1384391104).

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

1084537664 is an equidigital number, since it uses as much as digits as its factorization.

1084537664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9223 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 1084537664 is about 32932.3194445821. The cubic root of 1084537664 is about 1027.4204670040.

The spelling of 1084537664 in words is "one billion, eighty-four million, five hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 271 448 542 1084 1897 2168 3794 4336 7588 8672 8933 15176 17344 17866 30352 35732 60704 62531 71464 121408 125062 142928 250124 285856 500248 571712 1000496 2000992 2420843 4001984 4841686 9683372 16945901 19366744 33891802 38733488 67783604 77466976 135567208 154933952 271134416 542268832 1084537664