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130253240 = 235131072341
BaseRepresentation
bin1111100001110…
…00000110111000
3100002002112212002
413300320012320
5231321100430
620531440132
73141064025
oct760700670
9302075762
10130253240
1167585207
1237756048
1320ca6b30
141342854c
15b67d845
hex7c381b8

130253240 has 64 divisors (see below), whose sum is σ = 318699360. Its totient is φ = 47623680.

The previous prime is 130253237. The next prime is 130253287. The reversal of 130253240 is 42352031.

It is a happy number.

It is a super-4 number, since 4×1302532404 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54470 + ... + 56810.

Almost surely, 2130253240 is an apocalyptic number.

130253240 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 130253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159349680).

130253240 is an abundant number, since it is smaller than the sum of its proper divisors (188446120).

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

130253240 is a wasteful number, since it uses less digits than its factorization.

130253240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 130253240 is about 11412.8541566078. The cubic root of 130253240 is about 506.9084276363.

The spelling of 130253240 in words is "one hundred thirty million, two hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 107 130 214 260 428 520 535 856 1070 1391 2140 2341 2782 4280 4682 5564 6955 9364 11128 11705 13910 18728 23410 27820 30433 46820 55640 60866 93640 121732 152165 243464 250487 304330 500974 608660 1001948 1217320 1252435 2003896 2504870 3256331 5009740 6512662 10019480 13025324 16281655 26050648 32563310 65126620 130253240