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1030023200 = 255217531429
BaseRepresentation
bin111101011001001…
…110100000100000
32122210011121012102
4331121032200200
54102141220300
6250112545532
734345024043
oct7531164040
92583147172
101030023200
1148946a748
12248b522a8
1313551c8ab
149ab24c5a
15606620d5
hex3d64e820

1030023200 has 144 divisors (see below), whose sum is σ = 2714591880. Its totient is φ = 380190720.

The previous prime is 1030023187. The next prime is 1030023223. The reversal of 1030023200 is 23200301.

It can be written as a sum of positive squares in 12 ways, for example, as 63808144 + 966215056 = 7988^2 + 31084^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720086 + ... + 721514.

Almost surely, 21030023200 is an apocalyptic number.

1030023200 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 1030023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357295940).

1030023200 is an abundant number, since it is smaller than the sum of its proper divisors (1684568680).

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

1030023200 is a wasteful number, since it uses less digits than its factorization.

1030023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 1030023200 is about 32093.9745123598. The cubic root of 1030023200 is about 1009.9092164260.

Adding to 1030023200 its reverse (23200301), we get a palindrome (1053223501).

The spelling of 1030023200 in words is "one billion, thirty million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 53 68 80 85 100 106 136 160 170 200 212 265 272 340 400 424 425 530 544 680 800 848 850 901 1060 1325 1360 1429 1696 1700 1802 2120 2650 2720 2858 3400 3604 4240 4505 5300 5716 6800 7145 7208 8480 9010 10600 11432 13600 14290 14416 18020 21200 22525 22864 24293 28580 28832 35725 36040 42400 45050 45728 48586 57160 71450 72080 75737 90100 97172 114320 121465 142900 144160 151474 180200 194344 228640 242930 285800 302948 360400 378685 388688 485860 571600 605896 607325 720800 757370 777376 971720 1143200 1211792 1214650 1287529 1514740 1893425 1943440 2423584 2429300 2575058 3029480 3786850 3886880 4858600 5150116 6058960 6437645 7573700 9717200 10300232 12117920 12875290 15147400 19434400 20600464 25750580 30294800 32188225 41200928 51501160 60589600 64376450 103002320 128752900 206004640 257505800 515011600 1030023200