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130358580 = 223511263751
BaseRepresentation
bin1111100010100…
…01110100110100
3100002021220100120
413301101310310
5231332433310
620534011540
73142013112
oct761216464
9302256316
10130358580
1167647370
12377a6bb0
1321012a71
1413454ab2
15b69eb70
hex7c51d34

130358580 has 96 divisors (see below), whose sum is σ = 400232448. Its totient is φ = 31440000.

The previous prime is 130358561. The next prime is 130358581. The reversal of 130358580 is 85853031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130358581) 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, 173205 + ... + 173955.

It is an arithmetic number, because the mean of its divisors is an integer number (4169088).

Almost surely, 2130358580 is an apocalyptic number.

130358580 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 130358580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200116224).

130358580 is an abundant number, since it is smaller than the sum of its proper divisors (269873868).

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

130358580 is a wasteful number, since it uses less digits than its factorization.

130358580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 130358580 is about 11417.4681957078. The cubic root of 130358580 is about 507.0450418846.

The spelling of 130358580 in words is "one hundred thirty million, three hundred fifty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 263 330 526 660 751 789 1052 1315 1502 1578 2253 2630 2893 3004 3156 3755 3945 4506 5260 5786 7510 7890 8261 8679 9012 11265 11572 14465 15020 15780 16522 17358 22530 24783 28930 33044 34716 41305 43395 45060 49566 57860 82610 86790 99132 123915 165220 173580 197513 247830 395026 495660 592539 790052 987565 1185078 1975130 2172643 2370156 2962695 3950260 4345286 5925390 6517929 8690572 10863215 11850780 13035858 21726430 26071716 32589645 43452860 65179290 130358580