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130409328 = 24371932011
BaseRepresentation
bin1111100010111…
…10001101110000
3100002101110222010
413301132031300
5231341044303
620535042520
73142314060
oct761361560
9302343863
10130409328
1167681505
1237810440
132102cbaa
14134693a0
15b6aec03
hex7c5e370

130409328 has 80 divisors (see below), whose sum is σ = 387205376. Its totient is φ = 37048320.

The previous prime is 130409311. The next prime is 130409417. The reversal of 130409328 is 823904031.

It is a junction number, because it is equal to n+sod(n) for n = 130409295 and 130409304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63843 + ... + 65853.

Almost surely, 2130409328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130409328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193602688).

130409328 is an abundant number, since it is smaller than the sum of its proper divisors (256796048).

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

130409328 is a wasteful number, since it uses less digits than its factorization.

130409328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 130409328 is about 11419.6903635782. The cubic root of 130409328 is about 507.1108301215.

The spelling of 130409328 in words is "one hundred thirty million, four hundred nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 193 336 386 579 772 1158 1351 1544 2011 2316 2702 3088 4022 4053 4632 5404 6033 8044 8106 9264 10808 12066 14077 16088 16212 21616 24132 28154 32176 32424 42231 48264 56308 64848 84462 96528 112616 168924 225232 337848 388123 675696 776246 1164369 1552492 2328738 2716861 3104984 4657476 5433722 6209968 8150583 9314952 10867444 16301166 18629904 21734888 32602332 43469776 65204664 130409328