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1030531424 = 251319241541
BaseRepresentation
bin111101011011001…
…010100101100000
32122211010102100112
4331123022211200
54102304001144
6250131510452
734352241536
oct7533124540
92584112315
101030531424
1148978756a
12249158428
1313566a010
149ac18156
156071299e
hex3d6ca960

1030531424 has 96 divisors (see below), whose sum is σ = 2313732960. Its totient is φ = 447897600.

The previous prime is 1030531423. The next prime is 1030531457. The reversal of 1030531424 is 4241350301.

1030531424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1030531424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030531423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1904594 + ... + 1905134.

It is an arithmetic number, because the mean of its divisors is an integer number (24101385).

Almost surely, 21030531424 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 1030531424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156866480).

1030531424 is an abundant number, since it is smaller than the sum of its proper divisors (1283201536).

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

1030531424 is a wasteful number, since it uses less digits than its factorization.

1030531424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1030531424 is about 32101.8912838481. The cubic root of 1030531424 is about 1010.0752889665.

Adding to 1030531424 its reverse (4241350301), we get a palindrome (5271881725).

The spelling of 1030531424 in words is "one billion, thirty million, five hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 241 247 304 416 482 494 541 608 964 988 1082 1928 1976 2164 3133 3856 3952 4328 4579 6266 7033 7712 7904 8656 9158 10279 12532 14066 17312 18316 20558 25064 28132 36632 41116 50128 56264 59527 73264 82232 100256 112528 119054 130381 133627 146528 164464 225056 238108 260762 267254 328928 476216 521524 534508 952432 1043048 1069016 1694953 1904864 2086096 2138032 2477239 3389906 4172192 4276064 4954478 6779812 9908956 13559624 19817912 27119248 32204107 39635824 54238496 64408214 79271648 128816428 257632856 515265712 1030531424