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13214560420 = 22519471395323
BaseRepresentation
bin11000100111010011…
…00011000010100100
31021002221112020000201
430103221203002210
5204030411413140
610023133520244
7645316624135
oct142351430244
937087466021
1013214560420
115671302916
122689643084
131327986529
148d505bc8c
155251d549a
hex313a630a4

13214560420 has 96 divisors (see below), whose sum is σ = 30052915200. Its totient is φ = 4864904064.

The previous prime is 13214560367. The next prime is 13214560487. The reversal of 13214560420 is 2406541231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2479879 + ... + 2485201.

It is an arithmetic number, because the mean of its divisors is an integer number (313051200).

Almost surely, 213214560420 is an apocalyptic number.

13214560420 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 13214560420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15026457600).

13214560420 is an abundant number, since it is smaller than the sum of its proper divisors (16838354780).

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

13214560420 is a wasteful number, since it uses less digits than its factorization.

13214560420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 13214560420 in words is "thirteen billion, two hundred fourteen million, five hundred sixty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 139 188 190 235 278 380 470 556 695 893 940 1390 1786 2641 2780 3572 4465 5282 5323 6533 8930 10564 10646 13066 13205 17860 21292 26132 26410 26615 32665 52820 53230 65330 101137 106460 124127 130660 202274 248254 250181 404548 496508 500362 505685 620635 739897 1000724 1011370 1241270 1250905 1479794 2022740 2482540 2501810 2959588 3699485 4753439 5003620 7398970 9506878 14058043 14797940 19013756 23767195 28116086 34775159 47534390 56232172 69550318 70290215 95068780 139100636 140580430 173875795 281160860 347751590 660728021 695503180 1321456042 2642912084 3303640105 6607280210 13214560420