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13520206420 = 22572171037879
BaseRepresentation
bin11001001011101110…
…11111101001010100
31021220020122122111221
430211313133221110
5210142133101140
610113332540124
7656020600300
oct144567375124
937806578457
1013520206420
115808893216
122753a81644
1313760b0156
149238a0d00
15541e5c14a
hex325ddfa54

13520206420 has 144 divisors (see below), whose sum is σ = 35314755840. Its totient is φ = 4319917056.

The previous prime is 13520206417. The next prime is 13520206433. The reversal of 13520206420 is 2460202531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1712041 + ... + 1719919.

It is an arithmetic number, because the mean of its divisors is an integer number (245241360).

Almost surely, 213520206420 is an apocalyptic number.

13520206420 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 13520206420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17657377920).

13520206420 is an abundant number, since it is smaller than the sum of its proper divisors (21794549420).

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

13520206420 is a wasteful number, since it uses less digits than its factorization.

13520206420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8022 (or 8013 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 13520206420 its reverse (2460202531), we get a palindrome (15980408951).

The spelling of 13520206420 in words is "thirteen billion, five hundred twenty million, two hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 103 119 140 170 196 206 238 245 340 412 476 490 515 595 721 833 980 1030 1190 1442 1666 1751 2060 2380 2884 3332 3502 3605 4165 5047 7004 7210 7879 8330 8755 10094 12257 14420 15758 16660 17510 20188 24514 25235 31516 35020 39395 49028 50470 55153 61285 78790 85799 100940 110306 122570 133943 157580 171598 220612 245140 267886 275765 343196 386071 428995 535772 551530 669715 772142 811537 857990 937601 1103060 1339430 1544284 1623074 1715980 1875202 1930355 2678860 3246148 3750404 3860710 4057685 4688005 5680759 6563207 7721420 8115370 9376010 11361518 13126414 13796129 16230740 18752020 22723036 26252828 27592258 28403795 32816035 39765313 55184516 56807590 65632070 68980645 79530626 96572903 113615180 131264140 137961290 159061252 193145806 198826565 275922580 386291612 397653130 482864515 676010321 795306260 965729030 1352020642 1931458060 2704041284 3380051605 6760103210 13520206420