Search a number
-
+
130538448 = 2432906517
BaseRepresentation
bin1111100011111…
…01101111010000
3100002122001002100
413301331233100
5231404212243
620541520400
73143362365
oct761755720
9302561070
10130538448
116775a517
1237873100
13210768b1
14134a046c
15b6d80d3
hex7c7dbd0

130538448 has 30 divisors (see below), whose sum is σ = 365326754. Its totient is φ = 43512768.

The previous prime is 130538407. The next prime is 130538459. The reversal of 130538448 is 844835031.

It can be written as a sum of positive squares in only one way, i.e., 130233744 + 304704 = 11412^2 + 552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 453115 + ... + 453402.

Almost surely, 2130538448 is an apocalyptic number.

130538448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130538448 is an abundant number, since it is smaller than the sum of its proper divisors (234788306).

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

130538448 is a wasteful number, since it uses less digits than its factorization.

130538448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906531 (or 906522 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 130538448 is about 11425.3423581090. The cubic root of 130538448 is about 507.2781406276.

The spelling of 130538448 in words is "one hundred thirty million, five hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 906517 1813034 2719551 3626068 5439102 7252136 8158653 10878204 14504272 16317306 21756408 32634612 43512816 65269224 130538448