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130409397 = 32174120789
BaseRepresentation
bin1111100010111…
…10001110110101
3100002101111001200
413301132032311
5231341100042
620535043113
73142314216
oct761361665
9302344050
10130409397
1167681568
1237810499
132102cc31
141346940d
15b6aec4c
hex7c5e3b5

130409397 has 24 divisors (see below), whose sum is σ = 204324120. Its totient is φ = 79825920.

The previous prime is 130409311. The next prime is 130409417. The reversal of 130409397 is 793904031.

It can be written as a sum of positive squares in 4 ways, for example, as 27468081 + 102941316 = 5241^2 + 10146^2 .

It is not a de Polignac number, because 130409397 - 211 = 130407349 is a prime.

It is a super-2 number, since 2×1304093972 = 34013221651807218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130407397) 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 23 ways as a sum of consecutive naturals, for example, 4122 + ... + 16667.

It is an arithmetic number, because the mean of its divisors is an integer number (8513505).

Almost surely, 2130409397 is an apocalyptic number.

130409397 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

130409397 is a deficient number, since it is larger than the sum of its proper divisors (73914723).

130409397 is a wasteful number, since it uses less digits than its factorization.

130409397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20853 (or 20850 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 130409397 is about 11419.6933846754. The cubic root of 130409397 is about 507.1109195595.

The spelling of 130409397 in words is "one hundred thirty million, four hundred nine thousand, three hundred ninety-seven".

Divisors: 1 3 9 17 41 51 123 153 369 697 2091 6273 20789 62367 187101 353413 852349 1060239 2557047 3180717 7671141 14489933 43469799 130409397