Search a number
-
+
130057500 = 2235417341
BaseRepresentation
bin1111100000010…
…00010100011100
3100001201121100110
413300020110130
5231243320000
620523330020
73136320246
oct760102434
9301647313
10130057500
1167461141
1237680910
1320c38a01
14133b7096
15b640850
hex7c0851c

130057500 has 60 divisors (see below), whose sum is σ = 379234856. Its totient is φ = 34680000.

The previous prime is 130057469. The next prime is 130057511. The reversal of 130057500 is 5750031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1171 + ... + 16170.

Almost surely, 2130057500 is an apocalyptic number.

130057500 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 130057500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189617428).

130057500 is an abundant number, since it is smaller than the sum of its proper divisors (249177356).

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

130057500 is a wasteful number, since it uses less digits than its factorization.

130057500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17368 (or 17351 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 130057500 is about 11404.2755140342. The cubic root of 130057500 is about 506.6543789341.

The spelling of 130057500 in words is "one hundred thirty million, fifty-seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1250 1500 1875 2500 3750 7500 17341 34682 52023 69364 86705 104046 173410 208092 260115 346820 433525 520230 867050 1040460 1300575 1734100 2167625 2601150 4335250 5202300 6502875 8670500 10838125 13005750 21676250 26011500 32514375 43352500 65028750 130057500