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130467282 = 2311317312
BaseRepresentation
bin1111100011011…
…00010111010010
3100002111102110120
413301230113102
5231344423112
620540211110
73142645041
oct761542722
9302442416
10130467282
1167711000
1237839a96
132105039a
1413482558
15b6c1e8c
hex7c6c5d2

130467282 has 96 divisors (see below), whose sum is σ = 314010432. Its totient is φ = 36009600.

The previous prime is 130467269. The next prime is 130467287. The reversal of 130467282 is 282764031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130467287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4208607 + ... + 4208637.

It is an arithmetic number, because the mean of its divisors is an integer number (3270942).

Almost surely, 2130467282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130467282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157005216).

130467282 is an abundant number, since it is smaller than the sum of its proper divisors (183543150).

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

130467282 is a wasteful number, since it uses less digits than its factorization.

130467282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 130467282 is about 11422.2275410710. The cubic root of 130467282 is about 507.1859391367.

It can be divided in two parts, 1304 and 67282, that added together give a palindrome (68586).

The spelling of 130467282 in words is "one hundred thirty million, four hundred sixty-seven thousand, two hundred eighty-two".

Divisors: 1 2 3 6 11 17 22 31 33 34 51 62 66 93 102 121 186 187 242 341 363 374 527 561 682 726 961 1023 1054 1122 1331 1581 1922 2046 2057 2662 2883 3162 3751 3993 4114 5766 5797 6171 7502 7986 10571 11253 11594 12342 16337 17391 21142 22506 22627 31713 32674 34782 41261 45254 49011 63426 63767 67881 82522 98022 116281 123783 127534 135762 179707 191301 232562 247566 348843 359414 382602 539121 697686 701437 1078242 1279091 1402874 1976777 2104311 2558182 3837273 3953554 4208622 5930331 7674546 11860662 21744547 43489094 65233641 130467282