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130669440 = 27351123269
BaseRepresentation
bin1111100100111…
…01101110000000
3100002212200202220
413302131232000
5231422410230
620544411040
73144446316
oct762355600
9302780686
10130669440
1167839980
1237916a80
13210c13c5
14134d60b6
15b711d10
hex7c9db80

130669440 has 256 divisors, whose sum is σ = 475891200. Its totient is φ = 30187520.

The previous prime is 130669423. The next prime is 130669481. The reversal of 130669440 is 44966031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485626 + ... + 485894.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 2130669440 is an apocalyptic number.

130669440 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 130669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237945600).

130669440 is an abundant number, since it is smaller than the sum of its proper divisors (345221760).

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

130669440 is a wasteful number, since it uses less digits than its factorization.

130669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 130669440 is about 11431.0734404079. The cubic root of 130669440 is about 507.4477641238.

The spelling of 130669440 in words is "one hundred thirty million, six hundred sixty-nine thousand, four hundred forty".