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130563168 = 2535367383
BaseRepresentation
bin1111100100000…
…11110001100000
3100002200021222220
413302003301200
5231411010133
620542231040
73143524431
oct762036140
9302607886
10130563168
116777704a
1237885480
1321084c18
14134a9488
15b6e05b3
hex7c83c60

130563168 has 96 divisors (see below), whose sum is σ = 355332096. Its totient is φ = 41952768.

The previous prime is 130563161. The next prime is 130563197. The reversal of 130563168 is 861365031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130563161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340705 + ... + 341087.

It is an arithmetic number, because the mean of its divisors is an integer number (3701376).

Almost surely, 2130563168 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 130563168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177666048).

130563168 is an abundant number, since it is smaller than the sum of its proper divisors (224768928).

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

130563168 is a wasteful number, since it uses less digits than its factorization.

130563168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 130563168 is about 11426.4241125559. The cubic root of 130563168 is about 507.3101596084.

The spelling of 130563168 in words is "one hundred thirty million, five hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 67 96 106 134 159 201 212 268 318 383 402 424 536 636 766 804 848 1072 1149 1272 1532 1608 1696 2144 2298 2544 3064 3216 3551 4596 5088 6128 6432 7102 9192 10653 12256 14204 18384 20299 21306 25661 28408 36768 40598 42612 51322 56816 60897 76983 81196 85224 102644 113632 121794 153966 162392 170448 205288 243588 307932 324784 340896 410576 487176 615864 649568 821152 974352 1231728 1360033 1948704 2463456 2720066 4080099 5440132 8160198 10880264 16320396 21760528 32640792 43521056 65281584 130563168