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5135000 = 23541379
BaseRepresentation
bin10011100101101010011000
3100122212220012
4103211222120
52303310000
6302021052
761434563
oct23455230
910585805
105135000
112998002
121877788
1310aa380
149794da
156b6735
hex4e5a98

5135000 has 80 divisors (see below), whose sum is σ = 13120800. Its totient is φ = 1872000.

The previous prime is 5134993. The next prime is 5135023. The reversal of 5135000 is 5315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64961 + ... + 65039.

It is an arithmetic number, because the mean of its divisors is an integer number (164010).

Almost surely, 25135000 is an apocalyptic number.

5135000 is a gapful number since it is divisible by the number (50) 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 5135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560400).

5135000 is an abundant number, since it is smaller than the sum of its proper divisors (7985800).

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

5135000 is a wasteful number, since it uses less digits than its factorization.

5135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 5135000 is about 2266.0538387249. The cubic root of 5135000 is about 172.5229263094.

The spelling of 5135000 in words is "five million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 79 100 104 125 130 158 200 250 260 316 325 395 500 520 625 632 650 790 1000 1027 1250 1300 1580 1625 1975 2054 2500 2600 3160 3250 3950 4108 5000 5135 6500 7900 8125 8216 9875 10270 13000 15800 16250 19750 20540 25675 32500 39500 41080 49375 51350 65000 79000 98750 102700 128375 197500 205400 256750 395000 513500 641875 1027000 1283750 2567500 5135000