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130641040 = 2454493637
BaseRepresentation
bin1111100100101…
…10110010010000
3100002211020211001
413302112302100
5231421003130
620544031344
73144300445
oct762266220
9302736731
10130641040
116781a602
1237902554
13210b14ba
14134c99cc
15b7086ca
hex7c96c90

130641040 has 40 divisors (see below), whose sum is σ = 304500600. Its totient is φ = 52125696.

The previous prime is 130641031. The next prime is 130641041. The reversal of 130641040 is 40146031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 130051216 = 768^2 + 11404^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 130640999 and 130641017.

It is not an unprimeable number, because it can be changed into a prime (130641041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34102 + ... + 37738.

It is an arithmetic number, because the mean of its divisors is an integer number (7612515).

Almost surely, 2130641040 is an apocalyptic number.

130641040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130641040 is an abundant number, since it is smaller than the sum of its proper divisors (173859560).

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

130641040 is a wasteful number, since it uses less digits than its factorization.

130641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 130641040 is about 11429.8311448595. The cubic root of 130641040 is about 507.4109981677.

Adding to 130641040 its reverse (40146031), we get a palindrome (170787071).

The spelling of 130641040 in words is "one hundred thirty million, six hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 449 898 1796 2245 3592 3637 4490 7184 7274 8980 14548 17960 18185 29096 35920 36370 58192 72740 145480 290960 1633013 3266026 6532052 8165065 13064104 16330130 26128208 32660260 65320520 130641040