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130149405 = 3257693761
BaseRepresentation
bin1111100000111…
…10110000011101
3100001220021102100
413300132300131
5231304240110
620525315313
73140152221
oct760366035
9301807370
10130149405
11675141a1
1237705b39
1320c6b7a9
14133dc781
15b65cbc0
hex7c1ec1d

130149405 has 24 divisors (see below), whose sum is σ = 225945720. Its totient is φ = 69304320.

The previous prime is 130149403. The next prime is 130149407. The reversal of 130149405 is 504941031.

It is an interprime number because it is at equal distance from previous prime (130149403) and next prime (130149407).

It can be written as a sum of positive squares in 4 ways, for example, as 7338681 + 122810724 = 2709^2 + 11082^2 .

It is not a de Polignac number, because 130149405 - 21 = 130149403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130149401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32725 + ... + 36485.

It is an arithmetic number, because the mean of its divisors is an integer number (9414405).

Almost surely, 2130149405 is an apocalyptic number.

130149405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130149405 is a deficient number, since it is larger than the sum of its proper divisors (95796315).

130149405 is a wasteful number, since it uses less digits than its factorization.

130149405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 130149405 is about 11408.3042122833. The cubic root of 130149405 is about 506.7736931011.

The spelling of 130149405 in words is "one hundred thirty million, one hundred forty-nine thousand, four hundred five".

Divisors: 1 3 5 9 15 45 769 2307 3761 3845 6921 11283 11535 18805 33849 34605 56415 169245 2892209 8676627 14461045 26029881 43383135 130149405