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130410140 = 22576713903
BaseRepresentation
bin1111100010111…
…10011010011100
3100002101112002012
413301132122130
5231341111030
620535050352
73142316330
oct761363234
9302345065
10130410140
1167682083
12378109b8
1321030383
14134697c0
15b6b0095
hex7c5e69c

130410140 has 48 divisors (see below), whose sum is σ = 317678592. Its totient is φ = 44041536.

The previous prime is 130410127. The next prime is 130410191. The reversal of 130410140 is 41014031.

It is a happy number.

It is a super-2 number, since 2×1304101402 = 34013609229639200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 2429 + ... + 16331.

It is an arithmetic number, because the mean of its divisors is an integer number (6618304).

Almost surely, 2130410140 is an apocalyptic number.

130410140 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 130410140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158839296).

130410140 is an abundant number, since it is smaller than the sum of its proper divisors (187268452).

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

130410140 is a wasteful number, since it uses less digits than its factorization.

130410140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13986 (or 13984 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 130410140 is about 11419.7259161505. The cubic root of 130410140 is about 507.1118826360. Note that the first 3 decimals are identical.

Adding to 130410140 its reverse (41014031), we get a palindrome (171424171).

The spelling of 130410140 in words is "one hundred thirty million, four hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1876 2345 4690 9380 13903 27806 55612 69515 97321 139030 194642 278060 389284 486605 931501 973210 1863002 1946420 3726004 4657505 6520507 9315010 13041014 18630020 26082028 32602535 65205070 130410140