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1030856500 = 2253101137149
BaseRepresentation
bin111101011100011…
…001111100110100
32122211201221021101
4331130121330310
54102344402000
6250142455444
734355064352
oct7534317464
92584657241
101030856500
11489989823
12249294584
13135751c7b
149aca07d2
1560778e6a
hex3d719f34

1030856500 has 96 divisors (see below), whose sum is σ = 2305648800. Its totient is φ = 402560000.

The previous prime is 1030856467. The next prime is 1030856503. The reversal of 1030856500 is 56580301.

It can be written as a sum of positive squares in 16 ways, for example, as 611671824 + 419184676 = 24732^2 + 20474^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030856503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6918426 + ... + 6918574.

It is an arithmetic number, because the mean of its divisors is an integer number (24017175).

Almost surely, 21030856500 is an apocalyptic number.

1030856500 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 1030856500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152824400).

1030856500 is an abundant number, since it is smaller than the sum of its proper divisors (1274792300).

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

1030856500 is a wasteful number, since it uses less digits than its factorization.

1030856500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1030856500 is about 32106.9540754024. The cubic root of 1030856500 is about 1010.1814855390.

The spelling of 1030856500 in words is "one billion, thirty million, eight hundred fifty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 125 137 149 202 250 274 298 404 500 505 548 596 685 745 1010 1370 1490 2020 2525 2740 2980 3425 3725 5050 6850 7450 10100 12625 13700 13837 14900 15049 17125 18625 20413 25250 27674 30098 34250 37250 40826 50500 55348 60196 68500 69185 74500 75245 81652 102065 138370 150490 204130 276740 300980 345925 376225 408260 510325 691850 752450 1020650 1383700 1504900 1729625 1881125 2041300 2061713 2551625 3459250 3762250 4123426 5103250 6918500 7524500 8246852 10206500 10308565 20617130 41234260 51542825 103085650 206171300 257714125 515428250 1030856500