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130474040 = 23531432447
BaseRepresentation
bin1111100011011…
…10000000111000
3100002111202201212
413301232000320
5231400132130
620540302252
73143003534
oct761560070
9302452655
10130474040
1167716094
1237841988
1321053498
1413484bc4
15b6c3e95
hex7c6e038

130474040 has 64 divisors (see below), whose sum is σ = 310210560. Its totient is φ = 49311360.

The previous prime is 130474039. The next prime is 130474049. The reversal of 130474040 is 40474031.

130474040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1304740402 = 34046950227843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130473997 and 130474015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130474049) 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 15 ways as a sum of consecutive naturals, for example, 52097 + ... + 54543.

It is an arithmetic number, because the mean of its divisors is an integer number (4847040).

Almost surely, 2130474040 is an apocalyptic number.

130474040 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 130474040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155105280).

130474040 is an abundant number, since it is smaller than the sum of its proper divisors (179736520).

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

130474040 is a wasteful number, since it uses less digits than its factorization.

130474040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 130474040 is about 11422.5233639507. The cubic root of 130474040 is about 507.1946961302.

Subtracting from 130474040 its reverse (40474031), we obtain a palindrome (90000009).

The spelling of 130474040 in words is "one hundred thirty million, four hundred seventy-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 215 248 310 344 430 620 860 1240 1333 1720 2447 2666 4894 5332 6665 9788 10664 12235 13330 19576 24470 26660 48940 53320 75857 97880 105221 151714 210442 303428 379285 420884 526105 606856 758570 841768 1052210 1517140 2104420 3034280 3261851 4208840 6523702 13047404 16309255 26094808 32618510 65237020 130474040