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130643280 = 2434520161
BaseRepresentation
bin1111100100101…
…11010101010000
3100002211100220000
413302113111100
5231421041110
620544050000
73144310125
oct762272520
9302740800
10130643280
1167821259
1237903900
13210b2521
14134ca74c
15b7091c0
hex7c97550

130643280 has 100 divisors (see below), whose sum is σ = 453765972. Its totient is φ = 34836480.

The previous prime is 130643239. The next prime is 130643291. The reversal of 130643280 is 82346031.

It is a happy number.

130643280 is a `hidden beast` number, since 13 + 0 + 643 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66194496 + 64448784 = 8136^2 + 8028^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3601 + ... + 16560.

Almost surely, 2130643280 is an apocalyptic number.

130643280 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 130643280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226882986).

130643280 is an abundant number, since it is smaller than the sum of its proper divisors (323122692).

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

130643280 is a wasteful number, since it uses less digits than its factorization.

130643280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20186 (or 20171 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 130643280 is about 11429.9291336386. The cubic root of 130643280 is about 507.4138982113.

The spelling of 130643280 in words is "one hundred thirty million, six hundred forty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 20161 40322 60483 80644 100805 120966 161288 181449 201610 241932 302415 322576 362898 403220 483864 544347 604830 725796 806440 907245 967728 1088694 1209660 1451592 1612880 1633041 1814490 2177388 2419320 2721735 2903184 3266082 3628980 4354776 4838640 5443470 6532164 7257960 8165205 8709552 10886940 13064328 14515920 16330410 21773880 26128656 32660820 43547760 65321640 130643280