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1025000520 = 2335231013677
BaseRepresentation
bin111101000110000…
…100010001001000
32122102201102101020
4331012010101020
54044400004040
6245413152440
734254234465
oct7506042110
92572642336
101025000520
1148664a075
1224732b720
131344816ab
149a1b866c
155eebdcd0
hex3d184448

1025000520 has 128 divisors (see below), whose sum is σ = 3241347840. Its totient is φ = 258790400.

The previous prime is 1025000489. The next prime is 1025000527. The reversal of 1025000520 is 250005201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1025000520.

It is not an unprimeable number, because it can be changed into a prime (1025000527) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 276922 + ... + 280598.

It is an arithmetic number, because the mean of its divisors is an integer number (25323030).

Almost surely, 21025000520 is an apocalyptic number.

1025000520 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 1025000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620673920).

1025000520 is an abundant number, since it is smaller than the sum of its proper divisors (2216347320).

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

1025000520 is a wasteful number, since it uses less digits than its factorization.

1025000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 1025000520 is about 32015.6293081988. The cubic root of 1025000520 is about 1008.2650081123.

Adding to 1025000520 its reverse (250005201), we get a palindrome (1275005721).

The spelling of 1025000520 in words is "one billion, twenty-five million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 101 115 120 138 184 202 230 276 303 345 404 460 505 552 606 690 808 920 1010 1212 1380 1515 2020 2323 2424 2760 3030 3677 4040 4646 6060 6969 7354 9292 11031 11615 12120 13938 14708 18385 18584 22062 23230 27876 29416 34845 36770 44124 46460 55155 55752 69690 73540 84571 88248 92920 110310 139380 147080 169142 220620 253713 278760 338284 371377 422855 441240 507426 676568 742754 845710 1014852 1114131 1268565 1485508 1691420 1856885 2029704 2228262 2537130 2971016 3382840 3713770 4456524 5074260 5570655 7427540 8541671 8913048 10148520 11141310 14855080 17083342 22282620 25625013 34166684 42708355 44565240 51250026 68333368 85416710 102500052 128125065 170833420 205000104 256250130 341666840 512500260 1025000520