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1532213040 = 243553163739
BaseRepresentation
bin101101101010011…
…1011011100110000
310221210010111011010
41123110323130300
511114221304130
6412012350520
752653411261
oct13324733460
93853114133
101532213040
11716992376
12369175440
131b5590647
141076ca968
158e7ae0b0
hex5b53b730

1532213040 has 160 divisors (see below), whose sum is σ = 4875759360. Its totient is φ = 397882368.

The previous prime is 1532212943. The next prime is 1532213047. The reversal of 1532213040 is 403122351.

It is a junction number, because it is equal to n+sod(n) for n = 1532212998 and 1532213016.

It is not an unprimeable number, because it can be changed into a prime (1532213047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2072991 + ... + 2073729.

It is an arithmetic number, because the mean of its divisors is an integer number (30473496).

Almost surely, 21532213040 is an apocalyptic number.

1532213040 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 1532213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437879680).

1532213040 is an abundant number, since it is smaller than the sum of its proper divisors (3343546320).

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

1532213040 is a wasteful number, since it uses less digits than its factorization.

1532213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1532213040 is about 39143.4929458269. The cubic root of 1532213040 is about 1152.8506569100.

Adding to 1532213040 its reverse (403122351), we get a palindrome (1935335391).

The spelling of 1532213040 in words is "one billion, five hundred thirty-two million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 163 212 240 265 318 326 424 489 530 636 652 739 795 815 848 978 1060 1272 1304 1478 1590 1630 1956 2120 2217 2445 2544 2608 2956 3180 3260 3695 3912 4240 4434 4890 5912 6360 6520 7390 7824 8639 8868 9780 11085 11824 12720 13040 14780 17278 17736 19560 22170 25917 29560 34556 35472 39120 39167 43195 44340 51834 59120 69112 78334 86390 88680 103668 117501 120457 129585 138224 156668 172780 177360 195835 207336 235002 240914 259170 313336 345560 361371 391670 414672 470004 481828 518340 587505 602285 626672 691120 722742 783340 940008 963656 1036680 1175010 1204570 1445484 1566680 1806855 1880016 1927312 2073360 2350020 2409140 2890968 3133360 3613710 4700040 4818280 5781936 6384221 7227420 9400080 9636560 12768442 14454840 19152663 25536884 28909680 31921105 38305326 51073768 63842210 76610652 95763315 102147536 127684420 153221304 191526630 255368840 306442608 383053260 510737680 766106520 1532213040