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1530945960 = 233529894943
BaseRepresentation
bin101101101000000…
…0110000110101000
310221200202010001020
41123100012012220
511113410232320
6411525252440
752636553205
oct13320060650
93850663036
101530945960
117161a73a5
12368864120
131b52389ab
1410747acac
158e60d940
hex5b4061a8

1530945960 has 128 divisors (see below), whose sum is σ = 4805568000. Its totient is φ = 389666816.

The previous prime is 1530945917. The next prime is 1530945967. The reversal of 1530945960 is 695490351.

It is not an unprimeable number, because it can be changed into a prime (1530945967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307249 + ... + 312191.

It is an arithmetic number, because the mean of its divisors is an integer number (37543500).

Almost surely, 21530945960 is an apocalyptic number.

1530945960 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 1530945960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402784000).

1530945960 is an abundant number, since it is smaller than the sum of its proper divisors (3274622040).

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

1530945960 is a wasteful number, since it uses less digits than its factorization.

1530945960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 1530945960 is about 39127.3045327684. The cubic root of 1530945960 is about 1152.5327818670.

The spelling of 1530945960 in words is "one billion, five hundred thirty million, nine hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 89 116 120 145 174 178 232 267 290 348 356 435 445 534 580 696 712 870 890 1068 1160 1335 1740 1780 2136 2581 2670 3480 3560 4943 5162 5340 7743 9886 10324 10680 12905 14829 15486 19772 20648 24715 25810 29658 30972 38715 39544 49430 51620 59316 61944 74145 77430 98860 103240 118632 143347 148290 154860 197720 286694 296580 309720 430041 439927 573388 593160 716735 860082 879854 1146776 1319781 1433470 1720164 1759708 2150205 2199635 2639562 2866940 3440328 3519416 4300410 4399270 5279124 5733880 6598905 8600820 8798540 10558248 12757883 13197810 17201640 17597080 25515766 26395620 38273649 51031532 52791240 63789415 76547298 102063064 127578830 153094596 191368245 255157660 306189192 382736490 510315320 765472980 1530945960