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130488480 = 2532590617
BaseRepresentation
bin1111100011100…
…01100010100000
3100002112111112200
413301301202200
5231401112410
620540453200
73143063613
oct761614240
9302474480
10130488480
1167725a21
123784a200
1321059c25
141348a17a
15b6c83c0
hex7c718a0

130488480 has 72 divisors (see below), whose sum is σ = 445296852. Its totient is φ = 34796544.

The previous prime is 130488473. The next prime is 130488493. The reversal of 130488480 is 84884031.

130488480 is a `hidden beast` number, since 130 + 48 + 8 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118461456 + 12027024 = 10884^2 + 3468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43869 + ... + 46748.

Almost surely, 2130488480 is an apocalyptic number.

130488480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130488480 is an abundant number, since it is smaller than the sum of its proper divisors (314808372).

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

130488480 is a wasteful number, since it uses less digits than its factorization.

130488480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90638 (or 90627 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 130488480 is about 11423.1554309656. The cubic root of 130488480 is about 507.2134064198.

It can be divided in two parts, 13048 and 8480, that added together give a triangular number (21528 = T207).

The spelling of 130488480 in words is "one hundred thirty million, four hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 90617 181234 271851 362468 453085 543702 724936 815553 906170 1087404 1359255 1449872 1631106 1812340 2174808 2718510 2899744 3262212 3624680 4077765 4349616 5437020 6524424 7249360 8155530 8699232 10874040 13048848 14498720 16311060 21748080 26097696 32622120 43496160 65244240 130488480