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130579290 = 2345374357
BaseRepresentation
bin1111100100001…
…11101101011010
3100002201010010000
413302013231122
5231412014130
620542433430
73143622432
oct762075532
9302633100
10130579290
1167788176
1237892876
132108c36a
14134b12c2
15b6e5260
hex7c87b5a

130579290 has 80 divisors (see below), whose sum is σ = 360685512. Its totient is φ = 33872256.

The previous prime is 130579277. The next prime is 130579307. The reversal of 130579290 is 92975031.

It can be written as a sum of positive squares in 4 ways, for example, as 127983969 + 2595321 = 11313^2 + 1611^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27792 + ... + 32148.

Almost surely, 2130579290 is an apocalyptic number.

130579290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130579290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180342756).

130579290 is an abundant number, since it is smaller than the sum of its proper divisors (230106222).

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

130579290 is a wasteful number, since it uses less digits than its factorization.

130579290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 130579290 is about 11427.1295608302. The cubic root of 130579290 is about 507.3310397129.

The spelling of 130579290 in words is "one hundred thirty million, five hundred seventy-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 666 810 999 1110 1665 1998 2997 3330 4357 4995 5994 8714 9990 13071 14985 21785 26142 29970 39213 43570 65355 78426 117639 130710 161209 196065 235278 322418 352917 392130 483627 588195 705834 806045 967254 1176390 1450881 1612090 1764585 2418135 2901762 3529170 4352643 4836270 7254405 8705286 13057929 14508810 21763215 26115858 43526430 65289645 130579290