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130430454 = 237211311301
BaseRepresentation
bin1111100011000…
…11010111110110
3100002102112221120
413301203113312
5231342233304
620535324410
73142432500
oct761432766
9302375846
10130430454
1167696370
1237820706
13210396ab
1413472d70
15b6b60d9
hex7c635f6

130430454 has 96 divisors (see below), whose sum is σ = 341978112. Its totient is φ = 32760000.

The previous prime is 130430449. The next prime is 130430467. The reversal of 130430454 is 454034031.

130430454 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1304304542 = 34024206661292232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99604 + ... + 100904.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2130430454 is an apocalyptic number.

130430454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130430454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170989056).

130430454 is an abundant number, since it is smaller than the sum of its proper divisors (211547658).

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

130430454 is a wasteful number, since it uses less digits than its factorization.

130430454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 130430454 is about 11420.6153074167. The cubic root of 130430454 is about 507.1382122245.

Adding to 130430454 its reverse (454034031), we get a palindrome (584464485).

The spelling of 130430454 in words is "one hundred thirty million, four hundred thirty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 49 62 66 77 93 98 147 154 186 217 231 294 341 434 462 539 651 682 1023 1078 1301 1302 1519 1617 2046 2387 2602 3038 3234 3903 4557 4774 7161 7806 9107 9114 14311 14322 16709 18214 27321 28622 33418 40331 42933 50127 54642 63749 80662 85866 100177 100254 120993 127498 191247 200354 241986 282317 300531 382494 443641 564634 601062 701239 846951 887282 1330923 1402478 1693902 1976219 2103717 2661846 3105487 3952438 4207434 5928657 6210974 9316461 11857314 18632922 21738409 43476818 65215227 130430454