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130969440 = 2533576171
BaseRepresentation
bin1111100111001…
…10111101100000
3100010102221022000
413303212331200
5232012010230
620555044000
73150136050
oct763467540
9303387260
10130969440
1167a24308
1237a40600
1321197b14
1413573560
15b770b60
hex7ce6f60

130969440 has 384 divisors, whose sum is σ = 539965440. Its totient is φ = 29030400.

The previous prime is 130969409. The next prime is 130969441. The reversal of 130969440 is 44969031.

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

It is a junction number, because it is equal to n+sod(n) for n = 130969395 and 130969404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130969441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1844605 + ... + 1844675.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2130969440 is an apocalyptic number.

130969440 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 130969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

130969440 is an abundant number, since it is smaller than the sum of its proper divisors (408996000).

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

130969440 is a wasteful number, since it uses less digits than its factorization.

130969440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 130969440 is about 11444.1880445928. The cubic root of 130969440 is about 507.8358119444.

The spelling of 130969440 in words is "one hundred thirty million, nine hundred sixty-nine thousand, four hundred forty".