Search a number
-
+
130324544 = 267972999
BaseRepresentation
bin1111100010010…
…01100001000000
3100002020011122222
413301021201000
5231330341134
620533150212
73141511640
oct761114100
9302204588
10130324544
1167623839
123778b368
132100041c
1413446520
15b694a2e
hex7c49840

130324544 has 56 divisors (see below), whose sum is σ = 298704000. Its totient is φ = 55259136.

The previous prime is 130324543. The next prime is 130324577. The reversal of 130324544 is 445423031.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (130324543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41957 + ... + 44955.

It is an arithmetic number, because the mean of its divisors is an integer number (5334000).

Almost surely, 2130324544 is an apocalyptic number.

130324544 is a gapful number since it is divisible by the number (14) 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 130324544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149352000).

130324544 is an abundant number, since it is smaller than the sum of its proper divisors (168379456).

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

130324544 is an equidigital number, since it uses as much as digits as its factorization.

130324544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 130324544 is about 11415.9775753108. The cubic root of 130324544 is about 507.0009090339. Note that the first 3 decimals are identical.

Adding to 130324544 its reverse (445423031), we get a palindrome (575747575).

It can be divided in two parts, 13032 and 4544, that added together give a cube (17576 = 263).

The spelling of 130324544 in words is "one hundred thirty million, three hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 224 388 448 679 776 1358 1552 2716 2999 3104 5432 5998 6208 10864 11996 20993 21728 23992 41986 43456 47984 83972 95968 167944 191936 290903 335888 581806 671776 1163612 1343552 2036321 2327224 4072642 4654448 8145284 9308896 16290568 18617792 32581136 65162272 130324544