Search a number
-
+
130328784 = 243329101103
BaseRepresentation
bin1111100010010…
…10100011010000
3100002020101111000
413301022203100
5231331010114
620533222000
73141530205
oct761124320
9302211430
10130328784
1167626a43
1237791900
1321002331
1413447cac
15b695e09
hex7c4a8d0

130328784 has 160 divisors (see below), whose sum is σ = 394617600. Its totient is φ = 41126400.

The previous prime is 130328773. The next prime is 130328789. The reversal of 130328784 is 487823031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130328789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1265277 + ... + 1265379.

It is an arithmetic number, because the mean of its divisors is an integer number (2466360).

Almost surely, 2130328784 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 130328784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197308800).

130328784 is an abundant number, since it is smaller than the sum of its proper divisors (264288816).

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

130328784 is a wasteful number, since it uses less digits than its factorization.

130328784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 130328784 is about 11416.1632784399. The cubic root of 130328784 is about 507.0064072577.

The spelling of 130328784 in words is "one hundred thirty million, three hundred twenty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 101 103 108 116 144 174 202 206 216 232 261 303 309 348 404 412 432 464 522 606 618 696 783 808 824 909 927 1044 1212 1236 1392 1566 1616 1648 1818 1854 2088 2424 2472 2727 2781 2929 2987 3132 3636 3708 4176 4848 4944 5454 5562 5858 5974 6264 7272 7416 8787 8961 10403 10908 11124 11716 11948 12528 14544 14832 17574 17922 20806 21816 22248 23432 23896 26361 26883 31209 35148 35844 41612 43632 44496 46864 47792 52722 53766 62418 70296 71688 79083 80649 83224 93627 105444 107532 124836 140592 143376 158166 161298 166448 187254 210888 215064 249672 280881 301687 316332 322596 374508 421776 430128 499344 561762 603374 632664 645192 749016 905061 1123524 1206748 1265328 1290384 1498032 1810122 2247048 2413496 2715183 3620244 4494096 4826992 5430366 7240488 8145549 10860732 14480976 16291098 21721464 32582196 43442928 65164392 130328784