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1530666468 = 22321723372939
BaseRepresentation
bin101101100111100…
…0001110111100100
310221200012220122200
41123033001313210
511113322311333
6411515254500
752634310312
oct13317016744
93850186580
101530666468
11716026411
1236874a430
131b516b706
141074070b2
158e5a5c13
hex5b3c1de4

1530666468 has 144 divisors (see below), whose sum is σ = 4391936640. Its totient is φ = 446764032.

The previous prime is 1530666443. The next prime is 1530666479. The reversal of 1530666468 is 8646660351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519343 + ... + 522281.

It is an arithmetic number, because the mean of its divisors is an integer number (30499560).

Almost surely, 21530666468 is an apocalyptic number.

1530666468 is a gapful number since it is divisible by the number (18) 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 1530666468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195968320).

1530666468 is an abundant number, since it is smaller than the sum of its proper divisors (2861270172).

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

1530666468 is a wasteful number, since it uses less digits than its factorization.

1530666468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 1530666468 is about 39123.7327973699. The cubic root of 1530666468 is about 1152.4626415083.

The spelling of 1530666468 in words is "one billion, five hundred thirty million, six hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 37 46 51 68 69 74 92 102 111 138 148 153 204 207 222 276 306 333 391 414 444 612 629 666 782 828 851 1173 1258 1332 1564 1702 1887 2346 2516 2553 2939 3404 3519 3774 4692 5106 5661 5878 7038 7548 7659 8817 10212 11322 11756 14076 14467 15318 17634 22644 26451 28934 30636 35268 43401 49963 52902 57868 67597 86802 99926 105804 108743 130203 135194 149889 173604 199852 202791 217486 260406 270388 299778 326229 405582 434972 449667 520812 599556 608373 652458 811164 899334 978687 1149149 1216746 1304916 1798668 1848631 1957374 2298298 2433492 2501089 3447447 3697262 3914748 4596596 5002178 5545893 6894894 7394524 7503267 10004356 10342341 11091786 13789788 15006534 16637679 20684682 22183572 22509801 30013068 33275358 41369364 42518513 45019602 66550716 85037026 90039204 127555539 170074052 255111078 382666617 510222156 765333234 1530666468