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1230213024 = 253217713539
BaseRepresentation
bin100100101010011…
…1000111110100000
310011201212022000100
41021110320332200
510004413304044
6322023422400
742325431615
oct11124707640
93151768010
101230213024
11581472287
122a3bb4a00
13167b42401
14b955650c
1573007869
hex49538fa0

1230213024 has 144 divisors (see below), whose sum is σ = 3757440960. Its totient is φ = 380405760.

The previous prime is 1230213013. The next prime is 1230213053. The reversal of 1230213024 is 4203120321.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1230212988 and 1230213006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345847 + ... + 349385.

It is an arithmetic number, because the mean of its divisors is an integer number (26093340).

Almost surely, 21230213024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878720480).

1230213024 is an abundant number, since it is smaller than the sum of its proper divisors (2527227936).

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

1230213024 is a wasteful number, since it uses less digits than its factorization.

1230213024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1230213024 is about 35074.3927103521. The cubic root of 1230213024 is about 1071.5031205119.

Adding to 1230213024 its reverse (4203120321), we get a palindrome (5433333345).

The spelling of 1230213024 in words is "one billion, two hundred thirty million, two hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 71 72 96 102 136 142 144 153 204 213 272 284 288 306 408 426 544 568 612 639 816 852 1136 1207 1224 1278 1632 1704 2272 2414 2448 2556 3408 3539 3621 4828 4896 5112 6816 7078 7242 9656 10224 10617 10863 14156 14484 19312 20448 21234 21726 28312 28968 31851 38624 42468 43452 56624 57936 60163 63702 84936 86904 113248 115872 120326 127404 169872 173808 180489 240652 251269 254808 339744 347616 360978 481304 502538 509616 541467 721956 753807 962608 1005076 1019232 1082934 1443912 1507614 1925216 2010152 2165868 2261421 2887824 3015228 4020304 4271573 4331736 4522842 5775648 6030456 8040608 8543146 8663472 9045684 12060912 12814719 17086292 17326944 18091368 24121824 25629438 34172584 36182736 38444157 51258876 68345168 72365472 76888314 102517752 136690336 153776628 205035504 307553256 410071008 615106512 1230213024