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1063949440 = 2753374933
BaseRepresentation
bin111111011010101…
…001010010000000
32202011000020020211
4333122221102000
54134332340230
6253324043504
735236264261
oct7732512200
92664006224
101063949440
114a6631a64
12258393594
1313c56a9a8
14a1436968
156361442a
hex3f6a9480

1063949440 has 64 divisors (see below), whose sum is σ = 2551568760. Its totient is φ = 424230912.

The previous prime is 1063949431. The next prime is 1063949443. The reversal of 1063949440 is 449493601.

It can be written as a sum of positive squares in 4 ways, for example, as 643535424 + 420414016 = 25368^2 + 20504^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10639494402 = 2263976821752627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1063949393 and 1063949402.

It is not an unprimeable number, because it can be changed into a prime (1063949443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213214 + ... + 218146.

Almost surely, 21063949440 is an apocalyptic number.

1063949440 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 1063949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275784380).

1063949440 is an abundant number, since it is smaller than the sum of its proper divisors (1487619320).

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

1063949440 is an equidigital number, since it uses as much as digits as its factorization.

1063949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 1063949440 is about 32618.2378432680. The cubic root of 1063949440 is about 1020.8775735966.

The spelling of 1063949440 in words is "one billion, sixty-three million, nine hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 337 640 674 1348 1685 2696 3370 4933 5392 6740 9866 10784 13480 19732 21568 24665 26960 39464 43136 49330 53920 78928 98660 107840 157856 197320 215680 315712 394640 631424 789280 1578560 1662421 3157120 3324842 6649684 8312105 13299368 16624210 26598736 33248420 53197472 66496840 106394944 132993680 212789888 265987360 531974720 1063949440