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1030534144 = 2107912739
BaseRepresentation
bin111101011011001…
…011010000000000
32122211010120002021
4331123023100000
54102304043034
6250131531224
734352252503
oct7533132000
92584116067
101030534144
11489789612
12249159b14
1313566b323
149ac1913a
15607136b4
hex3d6cb400

1030534144 has 44 divisors (see below), whose sum is σ = 2086302400. Its totient is φ = 508704768.

The previous prime is 1030534093. The next prime is 1030534177. The reversal of 1030534144 is 4414350301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74527 + ... + 87265.

Almost surely, 21030534144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043151200).

1030534144 is an abundant number, since it is smaller than the sum of its proper divisors (1055768256).

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

1030534144 is an equidigital number, since it uses as much as digits as its factorization.

1030534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12838 (or 12820 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1030534144 is about 32101.9336489253. The cubic root of 1030534144 is about 1010.0761776350.

Adding to 1030534144 its reverse (4414350301), we get a palindrome (5444884445).

The spelling of 1030534144 in words is "one billion, thirty million, five hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1024 1264 2528 5056 10112 12739 20224 25478 40448 50956 80896 101912 203824 407648 815296 1006381 1630592 2012762 3261184 4025524 6522368 8051048 13044736 16102096 32204192 64408384 128816768 257633536 515267072 1030534144