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9125005260 = 22357193112571
BaseRepresentation
bin10000111111110010…
…01000011111001100
3212112221022021222210
420133321020133030
5122142000132020
64105244310420
7442061156610
oct103771103714
925487267883
109125005260
113962911568
121927b42410
13b2563a4c7
14627c75340
153861703e0
hex21fe487cc

9125005260 has 96 divisors (see below), whose sum is σ = 29351572992. Its totient is φ = 2074890240.

The previous prime is 9125005259. The next prime is 9125005297. The reversal of 9125005260 is 625005219.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24775 + ... + 137345.

It is an arithmetic number, because the mean of its divisors is an integer number (305745552).

Almost surely, 29125005260 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 9125005260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14675786496).

9125005260 is an abundant number, since it is smaller than the sum of its proper divisors (20226567732).

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

9125005260 is a wasteful number, since it uses less digits than its factorization.

9125005260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112783 (or 112781 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 9125005260 is about 95524.8934048084. The cubic root of 9125005260 is about 2089.6699997124.

The spelling of 9125005260 in words is "nine billion, one hundred twenty-five million, five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 193 210 386 420 579 772 965 1158 1351 1930 2316 2702 2895 3860 4053 5404 5790 6755 8106 11580 13510 16212 20265 27020 40530 81060 112571 225142 337713 450284 562855 675426 787997 1125710 1350852 1575994 1688565 2251420 2363991 3151988 3377130 3939985 4727982 6754260 7879970 9455964 11819955 15759940 21726203 23639910 43452406 47279820 65178609 86904812 108631015 130357218 152083421 217262030 260714436 304166842 325893045 434524060 456250263 608333684 651786090 760417105 912500526 1303572180 1520834210 1825001052 2281251315 3041668420 4562502630 9125005260