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130010440 = 23573111493
BaseRepresentation
bin1111011111111…
…00110101001000
3100001122012210111
413233330311020
5231240313230
620522324104
73136033120
oct757746510
9301565714
10130010440
116742984a
1237659634
1320c20471
14133a3c80
15b63192a
hex7bfcd48

130010440 has 64 divisors (see below), whose sum is σ = 335612160. Its totient is φ = 44401920.

The previous prime is 130010429. The next prime is 130010449. The reversal of 130010440 is 44010031.

It is a self number, because there is not a number n which added to its sum of digits gives 130010440.

It is not an unprimeable number, because it can be changed into a prime (130010449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 86334 + ... + 87826.

It is an arithmetic number, because the mean of its divisors is an integer number (5243940).

Almost surely, 2130010440 is an apocalyptic number.

130010440 is a gapful number since it is divisible by the number (10) 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 130010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167806080).

130010440 is an abundant number, since it is smaller than the sum of its proper divisors (205601720).

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

130010440 is a wasteful number, since it uses less digits than its factorization.

130010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 130010440 is about 11402.2120660861. The cubic root of 130010440 is about 506.5932622960.

Adding to 130010440 its reverse (44010031), we get a palindrome (174020471).

The spelling of 130010440 in words is "one hundred thirty million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 311 622 1244 1493 1555 2177 2488 2986 3110 4354 5972 6220 7465 8708 10451 10885 11944 12440 14930 17416 20902 21770 29860 41804 43540 52255 59720 83608 87080 104510 209020 418040 464323 928646 1857292 2321615 3250261 3714584 4643230 6500522 9286460 13001044 16251305 18572920 26002088 32502610 65005220 130010440