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130589760 = 2635719433
BaseRepresentation
bin1111100100010…
…10010001000000
3100002201122110210
413302022101000
5231412333020
620542554120
73143665110
oct762122100
9302648423
10130589760
1167795024
1237898940
1321094062
14134b5040
15b6e83e0
hex7c8a440

130589760 has 112 divisors (see below), whose sum is σ = 473878656. Its totient is φ = 29847552.

The previous prime is 130589759. The next prime is 130589777. The reversal of 130589760 is 67985031.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2997 + ... + 16436.

Almost surely, 2130589760 is an apocalyptic number.

130589760 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 130589760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236939328).

130589760 is an abundant number, since it is smaller than the sum of its proper divisors (343288896).

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

130589760 is a wasteful number, since it uses less digits than its factorization.

130589760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19460 (or 19450 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 130589760 is about 11427.5876719455. The cubic root of 130589760 is about 507.3445988156.

The spelling of 130589760 in words is "one hundred thirty million, five hundred eighty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 19433 38866 58299 77732 97165 116598 136031 155464 194330 233196 272062 291495 310928 388660 408093 466392 544124 582990 621856 680155 777320 816186 932784 1088248 1165980 1243712 1360310 1554640 1632372 1865568 2040465 2176496 2331960 2720620 3109280 3264744 3731136 4080930 4352992 4663920 5441240 6218560 6529488 8161860 8705984 9327840 10882480 13058976 16323720 18655680 21764960 26117952 32647440 43529920 65294880 130589760