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130983024 = 24329731289
BaseRepresentation
bin1111100111010…
…10010001110000
3100010110121221010
413303222101300
5232012424044
620555230520
73150223464
oct763522160
9303417833
10130983024
1167a33537
1237a48440
13211a1063
14135784a4
15b774bb9
hex7cea470

130983024 has 80 divisors (see below), whose sum is σ = 355111200. Its totient is φ = 41545728.

The previous prime is 130983019. The next prime is 130983037. The reversal of 130983024 is 420389031.

It is a junction number, because it is equal to n+sod(n) for n = 130982982 and 130983000.

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, 100972 + ... + 102260.

It is an arithmetic number, because the mean of its divisors is an integer number (4438890).

Almost surely, 2130983024 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 130983024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177555600).

130983024 is an abundant number, since it is smaller than the sum of its proper divisors (224128176).

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

130983024 is a wasteful number, since it uses less digits than its factorization.

130983024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1396 counting only the distinct ones).

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

The square root of 130983024 is about 11444.7815182292. The cubic root of 130983024 is about 507.8533687200.

The spelling of 130983024 in words is "one hundred thirty million, nine hundred eighty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 73 87 116 146 174 219 232 292 348 438 464 584 696 876 1168 1289 1392 1752 2117 2578 3504 3867 4234 5156 6351 7734 8468 10312 12702 15468 16936 20624 25404 30936 33872 37381 50808 61872 74762 94097 101616 112143 149524 188194 224286 282291 299048 376388 448572 564582 598096 752776 897144 1129164 1505552 1794288 2258328 2728813 4516656 5457626 8186439 10915252 16372878 21830504 32745756 43661008 65491512 130983024