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84130704 = 2433743647
BaseRepresentation
bin1010000001110…
…11101110010000
312212022021122000
411000323232100
5133014140304
612203114000
72041046010
oct500735620
9185267560
1084130704
1143542709
1224212900
13145785a8
14b25dc40
1575bc939
hex503bb90

84130704 has 160 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 23442048.

The previous prime is 84130703. The next prime is 84130733. The reversal of 84130704 is 40703148.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (84130703) 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, 129709 + ... + 130355.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 284130704 is an apocalyptic number.

84130704 is a gapful number since it is divisible by the number (84) 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 84130704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

84130704 is an abundant number, since it is smaller than the sum of its proper divisors (198708336).

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

84130704 is a wasteful number, since it uses less digits than its factorization.

84130704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 84130704 is about 9172.2791060892. The cubic root of 84130704 is about 438.1789473342.

The spelling of 84130704 in words is "eighty-four million, one hundred thirty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 43 48 54 56 63 72 84 86 108 112 126 129 144 168 172 189 216 252 258 301 336 344 378 387 432 504 516 602 647 688 756 774 903 1008 1032 1161 1204 1294 1512 1548 1806 1941 2064 2322 2408 2588 2709 3024 3096 3612 3882 4529 4644 4816 5176 5418 5823 6192 7224 7764 8127 9058 9288 10352 10836 11646 13587 14448 15528 16254 17469 18116 18576 21672 23292 27174 27821 31056 32508 34938 36232 40761 43344 46584 54348 55642 65016 69876 72464 81522 83463 93168 108696 111284 122283 130032 139752 163044 166926 194747 217392 222568 244566 250389 279504 326088 333852 389494 445136 489132 500778 584241 652176 667704 751167 778988 978264 1001556 1168482 1335408 1502334 1557976 1752723 1956528 2003112 2336964 3004668 3115952 3505446 4006224 4673928 5258169 6009336 7010892 9347856 10516338 12018672 14021784 21032676 28043568 42065352 84130704