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130483248 = 24372711433
BaseRepresentation
bin1111100011100…
…00010000110000
3100002112020100220
413301300100300
5231400430443
620540413040
73143042430
oct761602060
9302466326
10130483248
1167721aa5
1237847180
132105772c
14134882c0
15b6c6a83
hex7c70430

130483248 has 80 divisors (see below), whose sum is σ = 386927616. Its totient is φ = 37117440.

The previous prime is 130483231. The next prime is 130483253. The reversal of 130483248 is 842384031.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90340 + ... + 91772.

Almost surely, 2130483248 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 130483248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193463808).

130483248 is an abundant number, since it is smaller than the sum of its proper divisors (256444368).

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

130483248 is a wasteful number, since it uses less digits than its factorization.

130483248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 130483248 is about 11422.9264201430. The cubic root of 130483248 is about 507.2066273386.

The spelling of 130483248 in words is "one hundred thirty million, four hundred eighty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 271 336 542 813 1084 1433 1626 1897 2168 2866 3252 3794 4299 4336 5691 5732 6504 7588 8598 10031 11382 11464 13008 15176 17196 20062 22764 22928 30093 30352 34392 40124 45528 60186 68784 80248 91056 120372 160496 240744 388343 481488 776686 1165029 1553372 2330058 2718401 3106744 4660116 5436802 6213488 8155203 9320232 10873604 16310406 18640464 21747208 32620812 43494416 65241624 130483248