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1030445620 = 22519241592
BaseRepresentation
bin111101011010110…
…101101000110100
32122210222001122121
4331122311220310
54102243224440
6250130005324
734351433431
oct7532655064
92583861577
101030445620
11489729056
12249116844
13135639c49
149abd4b88
15606e734a
hex3d6b5a34

1030445620 has 108 divisors (see below), whose sum is σ = 2379849444. Its totient is φ = 374503680.

The previous prime is 1030445617. The next prime is 1030445621. The reversal of 1030445620 is 265440301.

It can be written as a sum of positive squares in 2 ways, for example, as 180956304 + 849489316 = 13452^2 + 29146^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030445621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17465151 + ... + 17465209.

It is an arithmetic number, because the mean of its divisors is an integer number (22035643).

Almost surely, 21030445620 is an apocalyptic number.

1030445620 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 1030445620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189924722).

1030445620 is an abundant number, since it is smaller than the sum of its proper divisors (1349403824).

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

1030445620 is a wasteful number, since it uses less digits than its factorization.

1030445620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 126 counting only the distinct ones).

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

The square root of 1030445620 is about 32100.5548238656. The cubic root of 1030445620 is about 1010.0472545940.

Adding to 1030445620 its reverse (265440301), we get a palindrome (1295885921).

The spelling of 1030445620 in words is "one billion, thirty million, four hundred forty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 41 59 76 82 95 118 164 190 205 236 295 361 380 410 590 722 779 820 1121 1180 1444 1558 1805 2242 2419 3116 3481 3610 3895 4484 4838 5605 6962 7220 7790 9676 11210 12095 13924 14801 15580 17405 21299 22420 24190 29602 34810 42598 45961 48380 59204 66139 69620 74005 85196 91922 106495 132278 142721 148010 183844 212990 229805 264556 285442 296020 330695 425980 459610 570884 661390 713605 873259 919220 1256641 1322780 1427210 1746518 2513282 2711699 2854420 3493036 4366295 5026564 5423398 6283205 8732590 10846796 12566410 13558495 17465180 25132820 27116990 51522281 54233980 103044562 206089124 257611405 515222810 1030445620