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130138240 = 275203341
BaseRepresentation
bin1111100000111…
…00000010000000
3100001212201002211
413300130002000
5231303410430
620525151504
73140104531
oct760340200
9301781084
10130138240
1167506871
12376bb594
1320c6669b
14133d8688
15b65972a
hex7c1c080

130138240 has 32 divisors (see below), whose sum is σ = 311113260. Its totient is φ = 52055040.

The previous prime is 130138219. The next prime is 130138249. The reversal of 130138240 is 42831031.

It can be written as a sum of positive squares in 2 ways, for example, as 121705024 + 8433216 = 11032^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (130138249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101031 + ... + 102310.

Almost surely, 2130138240 is an apocalyptic number.

130138240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130138240 is an abundant number, since it is smaller than the sum of its proper divisors (180975020).

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

130138240 is an equidigital number, since it uses as much as digits as its factorization.

130138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203360 (or 203348 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 130138240 is about 11407.8148652579. The cubic root of 130138240 is about 506.7592013200.

Adding to 130138240 its reverse (42831031), we get a palindrome (172969271).

The spelling of 130138240 in words is "one hundred thirty million, one hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 203341 406682 813364 1016705 1626728 2033410 3253456 4066820 6506912 8133640 13013824 16267280 26027648 32534560 65069120 130138240