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1530018144 = 253223317451
BaseRepresentation
bin101101100110010…
…0011100101100000
310221121222222022200
41123030203211200
511113141040034
6411453333200
752625640204
oct13314434540
93847888280
101530018144
11715723306
12368497200
131b4ca25a5
141072b8b04
158e4c8a99
hex5b323960

1530018144 has 144 divisors (see below), whose sum is σ = 4687248384. Its totient is φ = 472032000.

The previous prime is 1530018109. The next prime is 1530018179. The reversal of 1530018144 is 4418100351.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1530018109) and next prime (1530018179).

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

It is a congruent number.

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, 201619 + ... + 209069.

It is an arithmetic number, because the mean of its divisors is an integer number (32550336).

Almost surely, 21530018144 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 1530018144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343624192).

1530018144 is an abundant number, since it is smaller than the sum of its proper divisors (3157230240).

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

1530018144 is a wasteful number, since it uses less digits than its factorization.

1530018144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7521 (or 7510 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1530018144 is about 39115.4463607409. The cubic root of 1530018144 is about 1152.2999074488.

Adding to 1530018144 its reverse (4418100351), we get a palindrome (5948118495).

The spelling of 1530018144 in words is "one billion, five hundred thirty million, eighteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 32 36 46 48 62 69 72 92 93 96 124 138 144 184 186 207 248 276 279 288 368 372 414 496 552 558 713 736 744 828 992 1104 1116 1426 1488 1656 2139 2208 2232 2852 2976 3312 4278 4464 5704 6417 6624 7451 8556 8928 11408 12834 14902 17112 22353 22816 25668 29804 34224 44706 51336 59608 67059 68448 89412 102672 119216 134118 171373 178824 205344 230981 238432 268236 342746 357648 461962 514119 536472 685492 692943 715296 923924 1028238 1072944 1370984 1385886 1542357 1847848 2056476 2078829 2145888 2741968 2771772 3084714 3695696 4112952 4157658 5312563 5483936 5543544 6169428 7391392 8225904 8315316 10625126 11087088 12338856 15937689 16451808 16630632 21250252 22174176 24677712 31875378 33261264 42500504 47813067 49355424 63750756 66522528 85001008 95626134 127501512 170002016 191252268 255003024 382504536 510006048 765009072 1530018144