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1030235200 = 26525312149
BaseRepresentation
bin111101011010000…
…010010001000000
32122210120101000021
4331122002101000
54102220011300
6250121303224
734346566111
oct7532022100
92583511007
101030235200
114895a4a55
12249034b14
13135595237
149ab7c208
15606a4d1a
hex3d682440

1030235200 has 84 divisors (see below), whose sum is σ = 2583065700. Its totient is φ = 404285440.

The previous prime is 1030235189. The next prime is 1030235257. The reversal of 1030235200 is 25320301.

It can be written as a sum of positive squares in 6 ways, for example, as 90935296 + 939299904 = 9536^2 + 30648^2 .

It is a super-2 number, since 2×10302352002 = 2122769134638080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 78726 + ... + 90874.

Almost surely, 21030235200 is an apocalyptic number.

1030235200 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 1030235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291532850).

1030235200 is an abundant number, since it is smaller than the sum of its proper divisors (1552830500).

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

1030235200 is a wasteful number, since it uses less digits than its factorization.

1030235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12224 (or 12209 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 1030235200 is about 32097.2771430849. The cubic root of 1030235200 is about 1009.9784983822.

Adding to 1030235200 its reverse (25320301), we get a palindrome (1055555501).

The spelling of 1030235200 in words is "one billion, thirty million, two hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 160 200 212 265 320 400 424 530 800 848 1060 1325 1600 1696 2120 2650 3392 4240 5300 8480 10600 12149 16960 21200 24298 42400 48596 60745 84800 97192 121490 194384 242980 303725 388768 485960 607450 643897 777536 971920 1214900 1287794 1943840 2429800 2575588 3219485 3887680 4859600 5151176 6438970 9719200 10302352 12877940 16097425 19438400 20604704 25755880 32194850 41209408 51511760 64389700 103023520 128779400 206047040 257558800 515117600 1030235200