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538320980 = 225172324173
BaseRepresentation
bin100000000101100…
…010000001010100
31101111221112120002
4200011202001110
52100302232410
6125230030432
716224436631
oct4005420124
91344845502
10538320980
1125696057a
12130348418
13876b1632
14516cd188
15323d77a5
hex20162054

538320980 has 144 divisors (see below), whose sum is σ = 1299355344. Its totient is φ = 186531840.

The previous prime is 538320967. The next prime is 538321001. The reversal of 538320980 is 89023835.

It can be written as a sum of positive squares in 8 ways, for example, as 15649936 + 522671044 = 3956^2 + 22862^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7374224 + ... + 7374296.

It is an arithmetic number, because the mean of its divisors is an integer number (9023301).

Almost surely, 2538320980 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 538320980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649677672).

538320980 is an abundant number, since it is smaller than the sum of its proper divisors (761034364).

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

538320980 is a wasteful number, since it uses less digits than its factorization.

538320980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 538320980 is about 23201.7451929806. The cubic root of 538320980 is about 813.4804158588.

The spelling of 538320980 in words is "five hundred thirty-eight million, three hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 23 34 41 46 68 73 82 85 92 115 146 164 170 205 230 292 340 365 391 410 460 529 697 730 782 820 943 1058 1241 1394 1460 1564 1679 1886 1955 2116 2482 2645 2788 2993 3358 3485 3772 3910 4715 4964 5290 5986 6205 6716 6970 7820 8395 8993 9430 10580 11972 12410 13940 14965 16031 16790 17986 18860 21689 24820 28543 29930 32062 33580 35972 38617 43378 44965 50881 57086 59860 64124 68839 77234 80155 86756 89930 101762 108445 114172 137678 142715 154468 160310 179860 193085 203524 216890 254405 275356 285430 320620 344195 368713 386170 433780 508810 570860 656489 688390 737426 772340 1017620 1170263 1312978 1376780 1474852 1583297 1843565 2340526 2625956 3166594 3282445 3687130 4681052 5851315 6333188 6564890 7374260 7916485 11702630 13129780 15832970 23405260 26916049 31665940 53832098 107664196 134580245 269160490 538320980