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13530322400 = 255274751407
BaseRepresentation
bin11001001100111100…
…00101010111100000
31021220221200121000212
430212132011113200
5210202230304100
610114333433252
7656202562040
oct144636052740
937827617025
1013530322400
115813572531
12275733b828
13137821273a
14924d75720
15542ca9635
hex3267855e0

13530322400 has 144 divisors (see below), whose sum is σ = 38553532416. Its totient is φ = 4540177920.

The previous prime is 13530322397. The next prime is 13530322453. The reversal of 13530322400 is 422303531.

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, 237497 + ... + 288903.

It is an arithmetic number, because the mean of its divisors is an integer number (267732864).

Almost surely, 213530322400 is an apocalyptic number.

13530322400 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 13530322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19276766208).

13530322400 is an abundant number, since it is smaller than the sum of its proper divisors (25023210016).

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

13530322400 is a wasteful number, since it uses less digits than its factorization.

13530322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51481 (or 51468 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 13530322400 its reverse (422303531), we get a palindrome (13952625931).

The spelling of 13530322400 in words is "thirteen billion, five hundred thirty million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 47 50 56 70 80 94 100 112 140 160 175 188 200 224 235 280 329 350 376 400 470 560 658 700 752 800 940 1120 1175 1316 1400 1504 1645 1880 2350 2632 2800 3290 3760 4700 5264 5600 6580 7520 8225 9400 10528 13160 16450 18800 26320 32900 37600 51407 52640 65800 102814 131600 205628 257035 263200 359849 411256 514070 719698 822512 1028140 1285175 1439396 1645024 1799245 2056280 2416129 2570350 2878792 3598490 4112560 4832258 5140700 5757584 7196980 8225120 8996225 9664516 10281400 11515168 12080645 14393960 16912903 17992450 19329032 20562800 24161290 28787920 33825806 35984900 38658064 41125600 48322580 57575840 60403225 67651612 71969800 77316128 84564515 96645160 120806450 135303224 143939600 169129030 193290320 241612900 270606448 287879200 338258060 386580640 422822575 483225800 541212896 676516120 845645150 966451600 1353032240 1691290300 1932903200 2706064480 3382580600 6765161200 13530322400