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130151424 = 2103133259
BaseRepresentation
bin1111100000111…
…11010000000000
3100001220101012010
413300133100000
5231304321144
620525332520
73140161134
oct760372000
9301811163
10130151424
1167515767
1237707140
1320c6c6a0
14133dd3c4
15b65d5b9
hex7c1f400

130151424 has 88 divisors (see below), whose sum is σ = 373700320. Its totient is φ = 40034304.

The previous prime is 130151419. The next prime is 130151429. The reversal of 130151424 is 424151031.

It is an interprime number because it is at equal distance from previous prime (130151419) and next prime (130151429).

It is a self number, because there is not a number n which added to its sum of digits gives 130151424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130151429) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 38307 + ... + 41565.

Almost surely, 2130151424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130151424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186850160).

130151424 is an abundant number, since it is smaller than the sum of its proper divisors (243548896).

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

130151424 is a wasteful number, since it uses less digits than its factorization.

130151424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 130151424 is about 11408.3927001134. The cubic root of 130151424 is about 506.7763136043.

It can be divided in two parts, 1301 and 51424, that added together give a palindrome (52725).

The spelling of 130151424 in words is "one hundred thirty million, one hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3259 3328 4992 6518 6656 9777 9984 13036 13312 19554 19968 26072 39108 39936 42367 52144 78216 84734 104288 127101 156432 169468 208576 254202 312864 338936 417152 508404 625728 677872 834304 1016808 1251456 1355744 1668608 2033616 2502912 2711488 3337216 4067232 5005824 5422976 8134464 10011648 10845952 16268928 21691904 32537856 43383808 65075712 130151424