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1030580000 = 25542272
BaseRepresentation
bin111101011011010…
…110011100100000
32122211012212222122
4331123112130200
54102312030000
6250132523412
734352533262
oct7533263440
92584185878
101030580000
1148981000a
12249180568
13135686168
149ac2bb32
1560722085
hex3d6d6720

1030580000 has 90 divisors (see below), whose sum is σ = 2546599671. Its totient is φ = 410416000.

The previous prime is 1030579987. The next prime is 1030580003. The reversal of 1030580000 is 850301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 238270096 + 792309904 = 15436^2 + 28148^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22700.

It is a super-3 number, since 3×10305800003 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1030580003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4539887 + ... + 4540113.

Almost surely, 21030580000 is an apocalyptic number.

1030580000 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 1030580000

1030580000 is an abundant number, since it is smaller than the sum of its proper divisors (1516019671).

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

1030580000 is an frugal number, since it uses more digits than its factorization.

1030580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1030580000 is about 32102.6478658693. The cubic root of 1030580000 is about 1010.0911593046.

The spelling of 1030580000 in words is "one billion, thirty million, five hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 227 250 400 454 500 625 800 908 1000 1135 1250 1816 2000 2270 2500 3632 4000 4540 5000 5675 7264 9080 10000 11350 18160 20000 22700 28375 36320 45400 51529 56750 90800 103058 113500 141875 181600 206116 227000 257645 283750 412232 454000 515290 567500 824464 908000 1030580 1135000 1288225 1648928 2061160 2270000 2576450 4122320 4540000 5152900 6441125 8244640 10305800 12882250 20611600 25764500 32205625 41223200 51529000 64411250 103058000 128822500 206116000 257645000 515290000 1030580000