Search a number
-
+
130061448 = 233211214929
BaseRepresentation
bin1111100000010…
…01010010001000
3100001201210202200
413300021102020
5231243431243
620523400200
73136334616
oct760112210
9301653680
10130061448
1167464100
1237683060
1320c3a74a
14133b86b6
15b641ad3
hex7c09488

130061448 has 72 divisors (see below), whose sum is σ = 387209550. Its totient is φ = 39409920.

The previous prime is 130061447. The next prime is 130061483. The reversal of 130061448 is 844160031.

130061448 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 614 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89075844 + 40985604 = 9438^2 + 6402^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (130061447) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1248 + ... + 16176.

Almost surely, 2130061448 is an apocalyptic number.

130061448 is a gapful number since it is divisible by the number (18) 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 130061448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193604775).

130061448 is an abundant number, since it is smaller than the sum of its proper divisors (257148102).

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

130061448 is a wasteful number, since it uses less digits than its factorization.

130061448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14963 (or 14945 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 130061448 is about 11404.4486056977. The cubic root of 130061448 is about 506.6595055159.

The spelling of 130061448 in words is "one hundred thirty million, sixty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 14929 29858 44787 59716 89574 119432 134361 164219 179148 268722 328438 358296 492657 537444 656876 985314 1074888 1313752 1477971 1806409 1970628 2955942 3612818 3941256 5419227 5911884 7225636 10838454 11823768 14451272 16257681 21676908 32515362 43353816 65030724 130061448